A train overtakes two persons walking along the track. The first one walks at a speed of 3 km/hr. The other one walks at a speed of 3.6 km/hr. The train needs 5.6 and 5.66 seconds respectively to overtake them. Both the persons are walking in the same direction as the train.
What is the speed of the train (in kilometres per hour)?

20 km/hr

No worries! We‘ve got your back. Try BYJU‘S free classes today!

24 km/hr

No worries! We‘ve got your back. Try BYJU‘S free classes today!

18 km/hr

No worries! We‘ve got your back. Try BYJU‘S free classes today!

15 km/hr

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

21 km/hr

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is D
15 km/hr

3 kmph = $\frac{5}{6}$ m/s

3.6 kmph = 1m/s

Let the speed of the train be 'x' m/s.

(x – $\frac{5}{6}$ ) $\times$ 5.6 = (x – 1) $\times 5.66$

x = 15 m/s = 54 kmph

Suggest Corrections

Similar questions

Q. A train overtakes two persons walking along a railway track. The first one walks at

4.5

km/hr. The other one walks at

5.4

km/hr. The train needs

8.4

and

8.5

seconds, respectively, to overtake them. What is the speed of the train if both the persons are walking in the same direction as the train?

Q. A train overtakes two persons walking along a railway track. The first one walks at 405 km/hr. The other one walks at 5.4 km/hr. The train needs 8.4 and 8.5 seconds respectively to overtake them. What is the speed of the train if both the persons are walking in the same direction as the train?

Q. A train overtakes two persons walking along a railway track. The first one walks at 4.5 km/hr. The other one walks at 5.4 km/ hr. The train needs 8.4 and 8.5 seconds respectively to over take them. What is the speed of the train if both the persons are walking in the same direction as the train?

A train overtakes two persons walking along a railway track. The first person walks at 9 km/hr and the other walks at 10.8 km/hr. The train needs 16.8 and 17 seconds respectively to overtake them. What is the speed of the train if both the persons are walking in the same direction as the train?

Join BYJU'S Learning Program

The correct option is D 15 km/hr 3 kmph = 56 m/s 3.6 kmph = 1m/s Let the speed of the train be 'x' m/s. (x – 56)× 5.6 = (x – 1)×5.66 x = 15 m/s = 54 kmph

The correct option is D
15 km/hr

3 kmph = $\frac{5}{6}$ m/s

3.6 kmph = 1m/s

Let the speed of the train be 'x' m/s.

(x – $\frac{5}{6}$ ) $\times$ 5.6 = (x – 1) $\times 5.66$

x = 15 m/s = 54 kmph