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1. Time and DistanceTime and Distance
Questions and AnswersQuestions and Answers

2. 1) 2 Boys walk at the rate of 5 kmph and 5.5 kmph
respectively from the same place. Find the time to
travel 8.5 km difference by the 2 Boys?
Ans:- 17
Explanation:-
• For 0.5 km difference, Boys take 1 hour.
• So, for 8.5 km difference, Boys take 1/0.5 × 8.5
hrs = 17 hrs.

3. 2) 2 buses starting at the same time from 2 differant
stations which are 200 km apart and going in opposite
directions cross each other at a distance of 128 km
from one of the stations. Ratio of the two buses
speeds = -------?
Ans:- 16 : 9
Explanation:-
In the same time, they cover 128 km and 72 km
respectively.
Ratio of their speeds = 128 : 72 = 16 : 9.

4. 3) A bus moves at the speed of 120 km / hr. Find the
speed of the bus in metres per second?
Ans:- 33.33 m/sec
Explanation:-
Speed = 120 × 5/8 m / sec = 100/3 m / sec
= 33.33.
• Bus travels with a speed of 33.33 m/sec.

5. 4) A Bus travels with a speed of 65 miles per hour for
2.5 hours and then travels with a speed of 55 miles
per hour for 3.5hours. Find the distance travelled by
the Bus?
Ans: 355
Explanation:
Total distance travelled = 65× 2.5 + 55 × 3.5
miles = (162.5 + 192.5) miles = 355 miles.

6. 5) A Horse crosses a 600 m long street in 2 minutes.
Find the speed of the Horse?
Ans:- 18 km / hr
Explanation:-
Horse speed = 600 / ( 2 × 60 ) m / sec = 5 m /
sec = 5 × 18/5 km / hr
• = 18 km / hr.

7. 6) A motor cycle completes 200 metres distance in 24
seconds. Motor cycle speed-?
Ans:-
45 km / hr
Explanation:-
Motor cycle Speed = 300 / 24 m / sec = 25 / 2
m / sec = 25 / 2 × 18 / 5 km / hr
• = 45 km / hr.

8. 7) A, B start their run together to reach a certain
destination, A at 3 kmph and B at 3.75 kmph. B arrives
half an hour before A. Find the distance travelled by A
and B?
Ans:- 7.5 km
Explanation:-
• Let the required distance = N km.
• So, N/3 - N/3.75 = 1/2 <=> 2.5 N - 2 N =
3.75 <=> N = 3.75/0.50 = 15/2 = 7.5.
• Total distance travelled by A nad B = 7.5 km.

9. 8) Amar, Anthony and Akbar are walking from Cinema
hall to Shopping mall. Their speeds are in the ratio of
4 : 3 : 5. Find their time ratios?
Ans:- 15 : 20 : 12
Explanation:-
• Speed ratios of Amar, Anthony and Akbar = 4 : 3 : 5.
• So, time ratios of Amar, Anthony and Akbar = 1/4
: 1/3 : 1/5 = 15 : 20 : 12 .

10. 9) Amulya reaches home after 3/5 of the total journey
by car, 17/20 by motor cycle and the remaining 6.5
km on foot. Find her total journey ?
Ans:-130 km
Explanation:-
• Let the total journey be A km.
• Then, 3A/5 + 7A/20 + 6.5 = A <==>
12A + 7A + 20 × 6.5 = 20 A
• ==> A = 130 km.
• So amulya’s total journey to reach her home =
130km

11. 10) Ashokan has to reach 6 km distance in 45 minutes. If
he covers 1/2 of the distance in 2/3rd of the total time;
Find his speed to reach the remaining distance in the
remaining time?
Ans:- 12
Explanation:
• According to the question, finished distance = 1/2 0f 6
= 3km,
• Remaining time 1 - 2/3 = 1/3 min.
• Remaining distance = 3 km
• Remaining time = 1/3 × 45 min = 15 min = 1/4
hour.
• So, needed speed = (3 × 4) km / hr = 12 km / hr.