In a 1 km race, A beats B by 300 m and C by 370 m . In a race of 500 m , by how many metres would B beat C ?

In a 1 km race, A beats B by 300 m , which means A is 300 m ahead when they both finish the race. Similarly, A beats C by 370 m . So, in a 1 km race: A covers 1000 m B covers 1000 m - 300 m = 700 m C covers 1000 m - 370 m = 630 m A : B = 1000 m : 700 m A : C = 1000 m : 630 m B : C = 700 m : 630 m B : C = 500 m : x m B C = 700 630 = 500 x x = 500 × 630 700 = 450 B - C = 500 - 450 = 50 m Hence, B beat C by 50 m .

In a race of 600 m , Anand beats Bharat by either 45 m or 9 s . Find the time taken by Anand and Bharat to finish the race.

Given, Time Distance 45 m 600 m 9 sec ? 45 m × x = 600 m × 9 s x = 600 m × 9 s 45 m x = 120 s So, 120 s - 9 s = 111 s Therefore, the time taken by Anand and Bharat to finish the race is 111 s .

In a race of 50 m , A wins over B by 10 m and A wins over C by 14 m . In the same race by how many metres does B wins over C ?

In the given race of 50 m : A wins over B by 10 m = 50 m - 10 m = 40 m A wins over C by 14 m = 50 m - 14 m = 36 m A : B = 50 : 40 A : C = 50 : 36 B : C = 40 : 36 B C = 40 36 = 10 9 1 unit = 1 m C = 9 10 m × B Let B = 50 m So, C = 9 10 × 50 = 45 m D B - D C = 50 m - 45 m = 5 m Therefore, B wins over C is 5 m .

In a 1000 m race, Swaroop beats Laxman by either 100 m or 20 s and Laxman beats Shashidhar by 25 s . By what distance can Swaroop beat Shashidhar in the same race?

Given, Swaroop Laxman Shashidhar Distance 1000 m T 800 m T } 1 Time 1000 T 1000 T + 20 1000 T + 20 + 2 s 2 In 1 and 2 , Speed of Laxman is same: 900 T = 1000 T + 20 900 T + 20 = T 1000 900 T + 18000 = T 1000 18000 = 100 T T = 180 s So, Shashidhar will cover 1000 m distance in T + 20 + 25 = 225 s i.e., 1000 m in 225 s In 180 s = 800 m Therefore, Swaroop beats Shashidhar by 200 m .

HARD

8th Foundation

IMPORTANT

Earn 100

A boat travels $25 km$ upstream in $50$ minutes and the speed of the boat in still water is $40 kmph$ . The boat travels from place $A$ to place $B$ and returns to $A$ in $16$ hours. Find the distance between $A$ and $B$ .

Important Questions on Time and Distance

HARD

8th Foundation

IMPORTANT

Pearson IIT Foundation Mathematics Class 8>Chapter 7 - Time and Distance>PRACTICE QUESTIONS CLASSROOM WING>Q 31

If a boat takes

4 h

longer to travel a distance of

45 km

upstream than to travel the same distance downstream, then find the speed of the boat in still water if the speed of the stream is

2 km / hr

MEDIUM

8th Foundation

IMPORTANT

Pearson IIT Foundation Mathematics Class 8>Chapter 7 - Time and Distance>PRACTICE QUESTIONS CLASSROOM WING>Q 32

In a

1 km

race,

A

beats

B

300 m

and

C

370 m

. In a race of

500 m

, by how many metres would

B

beat

C ?

MEDIUM

8th Foundation

IMPORTANT

Pearson IIT Foundation Mathematics Class 8>Chapter 7 - Time and Distance>PRACTICE QUESTIONS CLASSROOM WING>Q 33

In a race of

600 m

, Anand beats Bharat by either

45 m

9 s

. Find the time taken by Anand and Bharat to finish the race.

MEDIUM

8th Foundation

IMPORTANT

Pearson IIT Foundation Mathematics Class 8>Chapter 7 - Time and Distance>PRACTICE QUESTIONS CLASSROOM WING>Q 34

The speed of a boat in still water is

15 km / h

and the speed of the stream is

5 km / h

. If a person travels

36 km

upstream and then returns to the starting point, then find the average speed of the total journey.

MEDIUM

8th Foundation

IMPORTANT

Pearson IIT Foundation Mathematics Class 8>Chapter 7 - Time and Distance>PRACTICE QUESTIONS CLASSROOM WING>Q 35

In a race of

50 m

A

wins over

B

10 m

and

A

wins over

C

14 m

. In the same race by how many metres does

B

wins over

C ?

MEDIUM

8th Foundation

IMPORTANT

Pearson IIT Foundation Mathematics Class 8>Chapter 7 - Time and Distance>PRACTICE QUESTIONS CLASSROOM WING>Q 36

X

can run

650 m

55 s

and

Y

can run the same distance in

1 \min 5 s

. By what distance can

X

beat

Y

in the

650 m

race?

MEDIUM

8th Foundation

IMPORTANT

Pearson IIT Foundation Mathematics Class 8>Chapter 7 - Time and Distance>PRACTICE QUESTIONS CLASSROOM WING>Q 37

In a

1000 m

race, Swaroop beats Laxman by either

100 m

20 s

and Laxman beats Shashidhar by

25 s

. By what distance can Swaroop beat Shashidhar in the same race?

MEDIUM

8th Foundation

IMPORTANT

Pearson IIT Foundation Mathematics Class 8>Chapter 7 - Time and Distance>PRACTICE QUESTIONS CLASSROOM WING>Q 38

For a boat to reach port

B

from port

A

, it has to travel

80 km

upstream and then

240 km

downstream. If the speed of the boat in still water is

45 km / hr

and the speed of the stream is

5 km / hr

, then what is the time taken by the boat to reach port

B

from port

A ?

A boat travels 25 km upstream in 50 minutes and the speed of the boat in still water is 40 kmph. The boat travels from place A to place B and returns to A in 16 hours. Find the distance between A and B.

Important Questions on Time and Distance

Learn and Prepare for any exam you want !

A boat travels $25 km$ upstream in $50$ minutes and the speed of the boat in still water is $40 kmph$ . The boat travels from place $A$ to place $B$ and returns to $A$ in $16$ hours. Find the distance between $A$ and $B$ .