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Nagpur and Gondia are two city, a bus goes from Nagpur to Gondia at speed of 65 km/hour and returns to Nagpur at a slower speed. If average speed for whole journey is 55 km/hour, then find the speed at which bus return to Nagpur.

Nagpur and Gondia are two city, a bus goes from Nagpur to Gondia at speed of 65 km/hour and returns to Nagpur at a slower speed. If average speed for whole journey is 55 km/hour, then find the speed at which bus return to Nagpur. Correct Answer 47.67 km/hour

Given:

Average speed = 55 km/hour

Speed, S1 = 65 km/hour

Formula used:

Average speed = (2 × S1 × S2)/(S1 + S2)

Calculation:

Let the speed while returning to Nagpur be y.

Average speed = (2 × S1 × S2)/(S1 + S2)

⇒ 55 = (2 × 65 × y)/(65 + y)

⇒ 11 = (2 × 13 × y)/(65 + y)

⇒ 11 = (26y)/(65 + y)

⇒ 11y + 715 = 26y

⇒ 15y = 715

⇒ y = 47.67 km/hour

∴ The speed of the bus for return journey is 47.67 km/hour.

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