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A train started at 9 pm and took 3 hours to reach Delhi from Patiala at the speed of 90 km/hr. After that the next day at 11 am, the train returned to Patiala at the speed of 135 km/hr. Find the average speed of the whole journey if time of stay at Delhi is also considered.

A train started at 9 pm and took 3 hours to reach Delhi from Patiala at the speed of 90 km/hr. After that the next day at 11 am, the train returned to Patiala at the speed of 135 km/hr. Find the average speed of the whole journey if time of stay at Delhi is also considered. Correct Answer 135/4 km/hr

Given:

Train started at 9 pm

Speed of the train = 90 km/hr

Time taken to complete the journey from Patiala to Delhi = 3 hours

Speed of the train in the returning = 135 km/hr

Returning time of the train from Delhi station was 11 am

Formula used:

Average speed = Total distance/Total time taken

Calculation:

Train started at 9 pm and took 3 hours to complete the journey which means train reached Patiala at 12 am

Speed of the train while going Delhi = 90 km/hr

Total distance between Patiala and Delhi = 90 × 3

⇒ 270 km

Now, the train again started from Delhi at 11 am which means train waited there for 11 hours

Now, while returning the speed of the train = 135 km/hr

Distance = 270 km

Time taken = 270/135 hour

Time taken while returning = 2 hours

Now, total distance covered = 270 + 270 km

⇒ 540 km

Total time taken to complete whole journey = 3 hours + 11 hours + 2 hours

⇒ 16 hours

Average speed = 540/16 km/hr

⇒ 135/4 km/hr

∴ Average speed of the journey is 135/4 km/hr

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