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Time and Distance

Multiple Choice Questions

Excluding stoppages, the speed of a bus is 54 km/hr and including stoppages it is 45 km/hr. For how many minutes does the bus stop per hour?

176 Views

A man walks from one place to another at a speed of 5 km/hr and returns to the starting place at a speed of 3 km/hr. His average speed for the whole journey is

4.5 km/hr
4 km/hr
4.25 km/hr
4.25 km/hr

154 Views

If Mohan goes to his office from his house at a speed of 16 km/hr, he reaches the office 5 minutes late. If he goes at a speed of 20 km/hr, he reaches 10 minutes earlier than the office time. The distance of his office from his house is

22 km
20 km
18 km
16 km

374 Views

Two persons ride towards each other from two places 55km apart, one riding at 12 km/h and the other at 10 km/h. When will they be 11 km apart?

2h and 30 min
1h and 30 min
2h
2h

484 Views

A train 150 m long passes a telegraphic post in 12 seconds. Find the speed of the train.

50 km/h
12.5 km/h
25 km/h
25 km/h

316 Views

6.
A train leaves station A at 5:00 am and reaches station B at 9:00 am on the same day. Another train leaves station B at 7:00 am and reaches station A at 10:30 am on the same day. The time at which the two trains cross one another is

8:00 am

8:26 am

7:56 am

7:56 am

7:56 am

Time taken by first train from station A to B = 4 h
and time taken by second train from station B to A = $3 1 half straight h$
Speed of first train = $straight D over 4 comma$ Speed of second train = $fraction numerator 2 straight D over denominator 7 end fraction$
Let train first and second meet after t h.
Distance = Speed x Time taken to meet each other.
$straight D space equals space straight D over straight y cross times straight t plus fraction numerator 2 straight D over denominator 7 end fraction cross times left parenthesis straight t minus 2 right parenthesis space equals space Dt over 4 plus fraction numerator 2 Dt minus 4 straight D over denominator 7 end fraction$
[∵ Second train start after 2 h]
$straight D space equals space Dt over 4 plus fraction numerator 2 Dt over denominator 7 end fraction minus fraction numerator 4 straight D over denominator 7 end fraction straight D space space equals space straight D open square brackets fraction numerator 7 straight t plus 8 straight t minus 16 over denominator 28 end fraction close square brackets$
$rightwards double arrow$ 28 = 15t - 16
44 = 15t, $straight t equals 44 over 15 equals space space 2 space straight h space and space 56 space min$
$therefore$ Required time = (5+2) + 56 min = 7:56 am

287 Views

The speed of a boat in still water is 6km/hr and the speed of the stream is 1.5 km/h. A man rows to a place at a distance of 22.5 km and comes back to the starting point. The total time taken by him is

10 h
4 h 10 min
6h 10 min
8 h

443 Views

A gun is fired at a distance of 1.34 km from Geeta. She hears the sound after 4 s. The speed at which sound travels is

335 m/s
330 m/s
300 m/s
300 m/s

425 Views

If I walk at 5km/h, I miss a train by 7 min. However, if I walk at 6 km/h I reach the station 5 min before the departure of the train. The distance between my house and the station is