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)  

Town Y and Town Z are 764 km apart, Mr Ang drives from Town Y towards Town Z at a uniform speed of 94 kmh.
Mr Chan drives from Town Z to Town Y at a uniform speed of 97 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:_______________




2)  

City A and City B are 875 km apart.
Chidambaram 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 55 kmh from City B to City A.
How far would Chidambaram have travelled when they both meet on the way
km


Answer:_______________




3)  

Town Y and Town Z are 501 km apart, Mr Ang drives from Town Y towards Town Z at a uniform speed of 70 kmh.
Mr Chan drives from Town Z to Town Y at a uniform speed of 97 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:_______________




4)  

City A and City B are 625 km apart.
Chidambaram drives at an average speed of 75 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 Chidambaram have travelled when they both meet on the way
km


Answer:_______________




5)  

Town Y and Town Z are 765 km apart, Mr Ang drives from Town Y towards Town Z at a uniform speed of 68 kmh.
Mr Chan drives from Town Z to Town Y at a uniform speed of 85 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:_______________




6)  

City A and City B are 480 km apart.
Kumar drives at an average speed of 70 kmh from City A to City B.
At the same time, Nandini drives down at an average speed of 50 kmh from City B to City A.
How far would Kumar have travelled when they both meet on the way
km


Answer:_______________




7)  

Town Y and Town Z are 495 km apart, Mr Ang drives from Town Y towards Town Z at a uniform speed of 70 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:_______________




8)  

City A and City B are 675 km apart.
Moorthi drives at an average speed of 70 kmh from City A to City B.
At the same time, Savithri drives down at an average speed of 65 kmh from City B to City A.
How far would Moorthi have travelled when they both meet on the way
km


Answer:_______________




9)  

Town Y and Town Z are 692 km apart, Mr Ang drives from Town Y towards Town Z at a uniform speed of 76 kmh.
Mr Chan drives from Town Z to Town Y at a uniform speed of 97 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:_______________




10)  

City A and City B are 840 km apart.
Moorthi drives at an average speed of 75 kmh from City A to City B.
At the same time, Indra drives down at an average speed of 65 kmh from City B to City A.
How far would Moorthi have travelled when they both meet on the way
km


Answer:_______________




 

1)  

Town Y and Town Z are 764 km apart, Mr Ang drives from Town Y towards Town Z at a uniform speed of 94 kmh.
Mr Chan drives from Town Z to Town Y at a uniform speed of 97 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: 376 km
 


SOLUTION 1 :
Step 1: Total distance travelled in 1 hour → 94 km + 97 km
    = 191 km
Step 2: Number of hours from start time till they pass each other → 764 km ÷ 191 kmh  
    = 4 h
Step 3: Distance travelled by Mr Ang when he passes Mr Chan → 94 kmh x 4 h
    = 376 km

 



2)  

City A and City B are 875 km apart.
Chidambaram 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 55 kmh from City B to City A.
How far would Chidambaram have travelled when they both meet on the way
Answer: 490 km


SOLUTION 1 :
Step 1: Total distance travelled in 1 hour → 70 km + 55 km
    = 125 km
Step 2: Number of hours from start time till they meet → 875 km ÷ 125 kmh  
    = 7 h
Step 3: Distance travelled by Selvanayaki when they meet → 70 kmh x 7 h
    = 490 km

 



3)  

Town Y and Town Z are 501 km apart, Mr Ang drives from Town Y towards Town Z at a uniform speed of 70 kmh.
Mr Chan drives from Town Z to Town Y at a uniform speed of 97 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: 210 km
 


SOLUTION 1 :
Step 1: Total distance travelled in 1 hour → 70 km + 97 km
    = 167 km
Step 2: Number of hours from start time till they pass each other → 501 km ÷ 167 kmh  
    = 3 h
Step 3: Distance travelled by Mr Ang when he passes Mr Chan → 70 kmh x 3 h
    = 210 km

 



4)  

City A and City B are 625 km apart.
Chidambaram drives at an average speed of 75 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 Chidambaram have travelled when they both meet on the way
Answer: 375 km


SOLUTION 1 :
Step 1: Total distance travelled in 1 hour → 75 km + 50 km
    = 125 km
Step 2: Number of hours from start time till they meet → 625 km ÷ 125 kmh  
    = 5 h
Step 3: Distance travelled by Selvanayaki when they meet → 75 kmh x 5 h
    = 375 km

 



5)  

Town Y and Town Z are 765 km apart, Mr Ang drives from Town Y towards Town Z at a uniform speed of 68 kmh.
Mr Chan drives from Town Z to Town Y at a uniform speed of 85 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: 340 km
 


SOLUTION 1 :
Step 1: Total distance travelled in 1 hour → 68 km + 85 km
    = 153 km
Step 2: Number of hours from start time till they pass each other → 765 km ÷ 153 kmh  
    = 5 h
Step 3: Distance travelled by Mr Ang when he passes Mr Chan → 68 kmh x 5 h
    = 340 km

 



6)  

City A and City B are 480 km apart.
Kumar drives at an average speed of 70 kmh from City A to City B.
At the same time, Nandini drives down at an average speed of 50 kmh from City B to City A.
How far would Kumar have travelled when they both meet on the way
Answer: 280 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 → 480 km ÷ 120 kmh  
    = 4 h
Step 3: Distance travelled by Nandini when they meet → 70 kmh x 4 h
    = 280 km

 



7)  

Town Y and Town Z are 495 km apart, Mr Ang drives from Town Y towards Town Z at a uniform speed of 70 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: 210 km
 


SOLUTION 1 :
Step 1: Total distance travelled in 1 hour → 70 km + 95 km
    = 165 km
Step 2: Number of hours from start time till they pass each other → 495 km ÷ 165 kmh  
    = 3 h
Step 3: Distance travelled by Mr Ang when he passes Mr Chan → 70 kmh x 3 h
    = 210 km

 



8)  

City A and City B are 675 km apart.
Moorthi drives at an average speed of 70 kmh from City A to City B.
At the same time, Savithri drives down at an average speed of 65 kmh from City B to City A.
How far would Moorthi have travelled when they both meet on the way
Answer: 350 km


SOLUTION 1 :
Step 1: Total distance travelled in 1 hour → 70 km + 65 km
    = 135 km
Step 2: Number of hours from start time till they meet → 675 km ÷ 135 kmh  
    = 5 h
Step 3: Distance travelled by Savithri when they meet → 70 kmh x 5 h
    = 350 km

 



9)  

Town Y and Town Z are 692 km apart, Mr Ang drives from Town Y towards Town Z at a uniform speed of 76 kmh.
Mr Chan drives from Town Z to Town Y at a uniform speed of 97 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: 304 km
 


SOLUTION 1 :
Step 1: Total distance travelled in 1 hour → 76 km + 97 km
    = 173 km
Step 2: Number of hours from start time till they pass each other → 692 km ÷ 173 kmh  
    = 4 h
Step 3: Distance travelled by Mr Ang when he passes Mr Chan → 76 kmh x 4 h
    = 304 km

 



10)  

City A and City B are 840 km apart.
Moorthi drives at an average speed of 75 kmh from City A to City B.
At the same time, Indra drives down at an average speed of 65 kmh from City B to City A.
How far would Moorthi have travelled when they both meet on the way
Answer: 450 km


SOLUTION 1 :
Step 1: Total distance travelled in 1 hour → 75 km + 65 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 Indra when they meet → 75 kmh x 6 h
    = 450 km