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A man cycles from P to Q, a distance of 30 km, in 2 hours 48 minutes. The road from P is a level road for 18 km and then it is uphill to Q. The man’s average speed on the level road is 15 km/h. What is his average uphill speed (in km/h)?

A man cycles from P to Q, a distance of 30 km, in 2 hours 48 minutes. The road from P is a level road for 18 km and then it is uphill to Q. The man’s average speed on the level road is 15 km/h. What is his average uphill speed (in km/h)? Correct Answer 7.5

Given:

Distance between P and Q = 30km

Formula:

Average speed = total distance/total time

Calculation:

Time taken by A = 2 hr + 48 min = 2 + 48/60 = 14/5 = 2.8 hours

Distance of level road = 18km

Time taken to travel level road = 18/15 = 1.2 hours

Time taken to travel uphill road = 2.8 - 1.2 = 1.6 hours

Distance of uphill road = 30 - 18 = 12 km

Speed to travel uphill road = 12/1.6 = 7.5 kmph

∴ Average uphill road speed is 7.5kmph.

 

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