Scroll:Distance, Time and Speed >> Distance, Time & Speed >> ps (691)


Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.



 

1)  

Moorthi took 3 hours from Town A to Town B. He covered 35 of the journey in the first 1 hour, the next 15 of it in the second hour and the rest in the third hour. Given that his average speed for the first two hours was 36 kmh , find his average speed for the whole journey.

kmh


Answer:_______________




2)  

Pugal took 3 hours from Town A to Town B. He covered 25 of the journey in the first 1 hour, the next 25 of it in the second hour and the rest in the third hour. Given that his average speed for the first two hours was 60 kmh , find his average speed for the whole journey.

kmh


Answer:_______________




3)  

Barathan took 3 hours from Town A to Town B. He covered 15 of the journey in the first 1 hour, the next 35 of it in the second hour and the rest in the third hour. Given that his average speed for the first two hours was 48 kmh , find his average speed for the whole journey.

kmh


Answer:_______________




4)  

Aravindh took 3 hours from Town A to Town B. He covered 35 of the journey in the first 1 hour, the next 15 of it in the second hour and the rest in the third hour. Given that his average speed for the first two hours was 48 kmh , find his average speed for the whole journey.

kmh


Answer:_______________




5)  

Kalai took 3 hours from Town A to Town B. He covered 25 of the journey in the first 1 hour, the next 25 of it in the second hour and the rest in the third hour. Given that his average speed for the first two hours was 96 kmh , find his average speed for the whole journey.

kmh


Answer:_______________




6)  

Prem took 3 hours from Town A to Town B. He covered 15 of the journey in the first 1 hour, the next 35 of it in the second hour and the rest in the third hour. Given that his average speed for the first two hours was 84 kmh , find his average speed for the whole journey.

kmh


Answer:_______________




7)  

Aravindh took 3 hours from Town A to Town B. He covered 15 of the journey in the first 1 hour, the next 35 of it in the second hour and the rest in the third hour. Given that his average speed for the first two hours was 48 kmh , find his average speed for the whole journey.

kmh


Answer:_______________




8)  

Narayanan took 3 hours from Town A to Town B. He covered 25 of the journey in the first 1 hour, the next 25 of it in the second hour and the rest in the third hour. Given that his average speed for the first two hours was 84 kmh , find his average speed for the whole journey.

kmh


Answer:_______________




9)  

Prem took 3 hours from Town A to Town B. He covered 35 of the journey in the first 1 hour, the next 15 of it in the second hour and the rest in the third hour. Given that his average speed for the first two hours was 96 kmh , find his average speed for the whole journey.

kmh


Answer:_______________




10)  

Aravindh took 3 hours from Town A to Town B. He covered 35 of the journey in the first 1 hour, the next 15 of it in the second hour and the rest in the third hour. Given that his average speed for the first two hours was 84 kmh , find his average speed for the whole journey.

kmh


Answer:_______________




 

1)  

Moorthi took 3 hours from Town A to Town B. He covered 35 of the journey in the first 1 hour, the next 15 of it in the second hour and the rest in the third hour. Given that his average speed for the first two hours was 36 kmh , find his average speed for the whole journey.

Answer: 30 kmh


SOLUTION 1 :
Step 1: Distance travelled in the first 2 hours  → 2 h x 36 kmh
     =  72 km

Step 2: 35 + 15 = 45

Step 3: 45 of the journey  72 km
  15 of the journey  72 km ÷ 4
    =  18 km
  55 of the journey  5 x 18 km
    = 90 km
Step 4: Average speed for the whole journey  → 90 km ÷ 3 h
     =  30 kmh


2)  

Pugal took 3 hours from Town A to Town B. He covered 25 of the journey in the first 1 hour, the next 25 of it in the second hour and the rest in the third hour. Given that his average speed for the first two hours was 60 kmh , find his average speed for the whole journey.

Answer: 50 kmh


SOLUTION 1 :
Step 1: Distance travelled in the first 2 hours  → 2 h x 60 kmh
     =  120 km

Step 2: 25 + 25 = 45

Step 3: 45 of the journey  120 km
  15 of the journey  120 km ÷ 4
    =  30 km
  55 of the journey  5 x 30 km
    = 150 km
Step 4: Average speed for the whole journey  → 150 km ÷ 3 h
     =  50 kmh


3)  

Barathan took 3 hours from Town A to Town B. He covered 15 of the journey in the first 1 hour, the next 35 of it in the second hour and the rest in the third hour. Given that his average speed for the first two hours was 48 kmh , find his average speed for the whole journey.

Answer: 40 kmh


SOLUTION 1 :
Step 1: Distance travelled in the first 2 hours  → 2 h x 48 kmh
     =  96 km

Step 2: 15 + 35 = 45

Step 3: 45 of the journey  96 km
  15 of the journey  96 km ÷ 4
    =  24 km
  55 of the journey  5 x 24 km
    = 120 km
Step 4: Average speed for the whole journey  → 120 km ÷ 3 h
     =  40 kmh


4)  

Aravindh took 3 hours from Town A to Town B. He covered 35 of the journey in the first 1 hour, the next 15 of it in the second hour and the rest in the third hour. Given that his average speed for the first two hours was 48 kmh , find his average speed for the whole journey.

Answer: 40 kmh


SOLUTION 1 :
Step 1: Distance travelled in the first 2 hours  → 2 h x 48 kmh
     =  96 km

Step 2: 35 + 15 = 45

Step 3: 45 of the journey  96 km
  15 of the journey  96 km ÷ 4
    =  24 km
  55 of the journey  5 x 24 km
    = 120 km
Step 4: Average speed for the whole journey  → 120 km ÷ 3 h
     =  40 kmh


5)  

Kalai took 3 hours from Town A to Town B. He covered 25 of the journey in the first 1 hour, the next 25 of it in the second hour and the rest in the third hour. Given that his average speed for the first two hours was 96 kmh , find his average speed for the whole journey.

Answer: 80 kmh


SOLUTION 1 :
Step 1: Distance travelled in the first 2 hours  → 2 h x 96 kmh
     =  192 km

Step 2: 25 + 25 = 45

Step 3: 45 of the journey  192 km
  15 of the journey  192 km ÷ 4
    =  48 km
  55 of the journey  5 x 48 km
    = 240 km
Step 4: Average speed for the whole journey  → 240 km ÷ 3 h
     =  80 kmh


6)  

Prem took 3 hours from Town A to Town B. He covered 15 of the journey in the first 1 hour, the next 35 of it in the second hour and the rest in the third hour. Given that his average speed for the first two hours was 84 kmh , find his average speed for the whole journey.

Answer: 70 kmh


SOLUTION 1 :
Step 1: Distance travelled in the first 2 hours  → 2 h x 84 kmh
     =  168 km

Step 2: 15 + 35 = 45

Step 3: 45 of the journey  168 km
  15 of the journey  168 km ÷ 4
    =  42 km
  55 of the journey  5 x 42 km
    = 210 km
Step 4: Average speed for the whole journey  → 210 km ÷ 3 h
     =  70 kmh


7)  

Aravindh took 3 hours from Town A to Town B. He covered 15 of the journey in the first 1 hour, the next 35 of it in the second hour and the rest in the third hour. Given that his average speed for the first two hours was 48 kmh , find his average speed for the whole journey.

Answer: 40 kmh


SOLUTION 1 :
Step 1: Distance travelled in the first 2 hours  → 2 h x 48 kmh
     =  96 km

Step 2: 15 + 35 = 45

Step 3: 45 of the journey  96 km
  15 of the journey  96 km ÷ 4
    =  24 km
  55 of the journey  5 x 24 km
    = 120 km
Step 4: Average speed for the whole journey  → 120 km ÷ 3 h
     =  40 kmh


8)  

Narayanan took 3 hours from Town A to Town B. He covered 25 of the journey in the first 1 hour, the next 25 of it in the second hour and the rest in the third hour. Given that his average speed for the first two hours was 84 kmh , find his average speed for the whole journey.

Answer: 70 kmh


SOLUTION 1 :
Step 1: Distance travelled in the first 2 hours  → 2 h x 84 kmh
     =  168 km

Step 2: 25 + 25 = 45

Step 3: 45 of the journey  168 km
  15 of the journey  168 km ÷ 4
    =  42 km
  55 of the journey  5 x 42 km
    = 210 km
Step 4: Average speed for the whole journey  → 210 km ÷ 3 h
     =  70 kmh


9)  

Prem took 3 hours from Town A to Town B. He covered 35 of the journey in the first 1 hour, the next 15 of it in the second hour and the rest in the third hour. Given that his average speed for the first two hours was 96 kmh , find his average speed for the whole journey.

Answer: 80 kmh


SOLUTION 1 :
Step 1: Distance travelled in the first 2 hours  → 2 h x 96 kmh
     =  192 km

Step 2: 35 + 15 = 45

Step 3: 45 of the journey  192 km
  15 of the journey  192 km ÷ 4
    =  48 km
  55 of the journey  5 x 48 km
    = 240 km
Step 4: Average speed for the whole journey  → 240 km ÷ 3 h
     =  80 kmh


10)  

Aravindh took 3 hours from Town A to Town B. He covered 35 of the journey in the first 1 hour, the next 15 of it in the second hour and the rest in the third hour. Given that his average speed for the first two hours was 84 kmh , find his average speed for the whole journey.

Answer: 70 kmh


SOLUTION 1 :
Step 1: Distance travelled in the first 2 hours  → 2 h x 84 kmh
     =  168 km

Step 2: 35 + 15 = 45

Step 3: 45 of the journey  168 km
  15 of the journey  168 km ÷ 4
    =  42 km
  55 of the journey  5 x 42 km
    = 210 km
Step 4: Average speed for the whole journey  → 210 km ÷ 3 h
     =  70 kmh