Scroll:Distance, Time and Speed >> Distance, Time & Speed >> ps (649)


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)  

City A and City B are 720 km apart.
Balaji drives at an average speed of 70 kmh from City A to City B.
At the same time, Selvanayaki drives down at an average speed of 50 kmh from City B to City A.
How far would Balaji have travelled when they both meet on the way
km


Answer:_______________




2)  

Town Y and Town Z are 438 km apart, Mr Ang drives from Town Y towards Town Z at a uniform speed of 62 kmh.
Mr Chan drives from Town Z to Town Y at a uniform speed of 84 kmh.  
Both Mr Ang and Mr Chan start their journey at the same time.
How far has Mr Ang driven when he passes Mr Chan on the road
km
 


Answer:_______________




3)  

City A and City B are 840 km apart.
Aravindh drives at an average speed of 80 kmh from City A to City B.
At the same time, Savithri drives down at an average speed of 60 kmh from City B to City A.
How far would Aravindh have travelled when they both meet on the way
km


Answer:_______________




4)  

Town Y and Town Z are 704 km apart, Mr Ang drives from Town Y towards Town Z at a uniform speed of 67 kmh.
Mr Chan drives from Town Z to Town Y at a uniform speed of 109 kmh.  
Both Mr Ang and Mr Chan start their journey at the same time.
How far has Mr Ang driven when he passes Mr Chan on the road
km
 


Answer:_______________




5)  

City A and City B are 720 km apart.
Balaji drives at an average speed of 70 kmh from City A to City B.
At the same time, Keerthi drives down at an average speed of 50 kmh from City B to City A.
How far would Balaji have travelled when they both meet on the way
km


Answer:_______________




6)  

Town Y and Town Z are 435 km apart, Mr Ang drives from Town Y towards Town Z at a uniform speed of 64 kmh.
Mr Chan drives from Town Z to Town Y at a uniform speed of 81 kmh.  
Both Mr Ang and Mr Chan start their journey at the same time.
How far has Mr Ang driven when he passes Mr Chan on the road
km
 


Answer:_______________




7)  

City A and City B are 580 km apart.
Chidambaram drives at an average speed of 70 kmh from City A to City B.
At the same time, Parveen drives down at an average speed of 75 kmh from City B to City A.
How far would Chidambaram have travelled when they both meet on the way
km


Answer:_______________




8)  

Town Y and Town Z are 768 km apart, Mr Ang drives from Town Y towards Town Z at a uniform speed of 98 kmh.
Mr Chan drives from Town Z to Town Y at a uniform speed of 94 kmh.  
Both Mr Ang and Mr Chan start their journey at the same time.
How far has Mr Ang driven when he passes Mr Chan on the road
km
 


Answer:_______________




9)  

City A and City B are 945 km apart.
Moorthi drives at an average speed of 80 kmh from City A to City B.
At the same time, Keerthi drives down at an average speed of 55 kmh from City B to City A.
How far would Moorthi have travelled when they both meet on the way
km


Answer:_______________




10)  

Town Y and Town Z are 935 km apart, Mr Ang drives from Town Y towards Town Z at a uniform speed of 92 kmh.
Mr Chan drives from Town Z to Town Y at a uniform speed of 95 kmh.  
Both Mr Ang and Mr Chan start their journey at the same time.
How far has Mr Ang driven when he passes Mr Chan on the road
km
 


Answer:_______________




 

1)  

City A and City B are 720 km apart.
Balaji drives at an average speed of 70 kmh from City A to City B.
At the same time, Selvanayaki drives down at an average speed of 50 kmh from City B to City A.
How far would Balaji have travelled when they both meet on the way
Answer: 420 km


SOLUTION 1 :
Step 1: Total distance travelled in 1 hour 70 km + 50 km
    = 120 km
Step 2: Number of hours from start time till they meet 720 km ÷ 120 kmh  
    = 6 h
Step 3: Distance travelled by Selvanayaki when they meet 70 kmh x 6 h
    = 420 km

 



2)  

Town Y and Town Z are 438 km apart, Mr Ang drives from Town Y towards Town Z at a uniform speed of 62 kmh.
Mr Chan drives from Town Z to Town Y at a uniform speed of 84 kmh.  
Both Mr Ang and Mr Chan start their journey at the same time.
How far has Mr Ang driven when he passes Mr Chan on the road
Answer: 186 km
 


SOLUTION 1 :
Step 1: Total distance travelled in 1 hour 62 km + 84 km
    = 146 km
Step 2: Number of hours from start time till they pass each other 438 km ÷ 146 kmh  
    = 3 h
Step 3: Distance travelled by Mr Ang when he passes Mr Chan 62 kmh x 3 h
    = 186 km

 



3)  

City A and City B are 840 km apart.
Aravindh drives at an average speed of 80 kmh from City A to City B.
At the same time, Savithri drives down at an average speed of 60 kmh from City B to City A.
How far would Aravindh have travelled when they both meet on the way
Answer: 480 km


SOLUTION 1 :
Step 1: Total distance travelled in 1 hour 80 km + 60 km
    = 140 km
Step 2: Number of hours from start time till they meet 840 km ÷ 140 kmh  
    = 6 h
Step 3: Distance travelled by Savithri when they meet 80 kmh x 6 h
    = 480 km

 



4)  

Town Y and Town Z are 704 km apart, Mr Ang drives from Town Y towards Town Z at a uniform speed of 67 kmh.
Mr Chan drives from Town Z to Town Y at a uniform speed of 109 kmh.  
Both Mr Ang and Mr Chan start their journey at the same time.
How far has Mr Ang driven when he passes Mr Chan on the road
Answer: 268 km
 


SOLUTION 1 :
Step 1: Total distance travelled in 1 hour 67 km + 109 km
    = 176 km
Step 2: Number of hours from start time till they pass each other 704 km ÷ 176 kmh  
    = 4 h
Step 3: Distance travelled by Mr Ang when he passes Mr Chan 67 kmh x 4 h
    = 268 km

 



5)  

City A and City B are 720 km apart.
Balaji drives at an average speed of 70 kmh from City A to City B.
At the same time, Keerthi drives down at an average speed of 50 kmh from City B to City A.
How far would Balaji have travelled when they both meet on the way
Answer: 420 km


SOLUTION 1 :
Step 1: Total distance travelled in 1 hour 70 km + 50 km
    = 120 km
Step 2: Number of hours from start time till they meet 720 km ÷ 120 kmh  
    = 6 h
Step 3: Distance travelled by Keerthi when they meet 70 kmh x 6 h
    = 420 km

 



6)  

Town Y and Town Z are 435 km apart, Mr Ang drives from Town Y towards Town Z at a uniform speed of 64 kmh.
Mr Chan drives from Town Z to Town Y at a uniform speed of 81 kmh.  
Both Mr Ang and Mr Chan start their journey at the same time.
How far has Mr Ang driven when he passes Mr Chan on the road
Answer: 192 km
 


SOLUTION 1 :
Step 1: Total distance travelled in 1 hour 64 km + 81 km
    = 145 km
Step 2: Number of hours from start time till they pass each other 435 km ÷ 145 kmh  
    = 3 h
Step 3: Distance travelled by Mr Ang when he passes Mr Chan 64 kmh x 3 h
    = 192 km

 



7)  

City A and City B are 580 km apart.
Chidambaram drives at an average speed of 70 kmh from City A to City B.
At the same time, Parveen drives down at an average speed of 75 kmh from City B to City A.
How far would Chidambaram have travelled when they both meet on the way
Answer: 280 km


SOLUTION 1 :
Step 1: Total distance travelled in 1 hour 70 km + 75 km
    = 145 km
Step 2: Number of hours from start time till they meet 580 km ÷ 145 kmh  
    = 4 h
Step 3: Distance travelled by Parveen when they meet 70 kmh x 4 h
    = 280 km

 



8)  

Town Y and Town Z are 768 km apart, Mr Ang drives from Town Y towards Town Z at a uniform speed of 98 kmh.
Mr Chan drives from Town Z to Town Y at a uniform speed of 94 kmh.  
Both Mr Ang and Mr Chan start their journey at the same time.
How far has Mr Ang driven when he passes Mr Chan on the road
Answer: 392 km
 


SOLUTION 1 :
Step 1: Total distance travelled in 1 hour 98 km + 94 km
    = 192 km
Step 2: Number of hours from start time till they pass each other 768 km ÷ 192 kmh  
    = 4 h
Step 3: Distance travelled by Mr Ang when he passes Mr Chan 98 kmh x 4 h
    = 392 km

 



9)  

City A and City B are 945 km apart.
Moorthi drives at an average speed of 80 kmh from City A to City B.
At the same time, Keerthi drives down at an average speed of 55 kmh from City B to City A.
How far would Moorthi have travelled when they both meet on the way
Answer: 560 km


SOLUTION 1 :
Step 1: Total distance travelled in 1 hour 80 km + 55 km
    = 135 km
Step 2: Number of hours from start time till they meet 945 km ÷ 135 kmh  
    = 7 h
Step 3: Distance travelled by Keerthi when they meet 80 kmh x 7 h
    = 560 km

 



10)  

Town Y and Town Z are 935 km apart, Mr Ang drives from Town Y towards Town Z at a uniform speed of 92 kmh.
Mr Chan drives from Town Z to Town Y at a uniform speed of 95 kmh.  
Both Mr Ang and Mr Chan start their journey at the same time.
How far has Mr Ang driven when he passes Mr Chan on the road
Answer: 460 km
 


SOLUTION 1 :
Step 1: Total distance travelled in 1 hour 92 km + 95 km
    = 187 km
Step 2: Number of hours from start time till they pass each other 935 km ÷ 187 kmh  
    = 5 h
Step 3: Distance travelled by Mr Ang when he passes Mr Chan 92 kmh x 5 h
    = 460 km