Sarah can bicycle a loop around the north part of Lake Washington in 2 hours and 40 minutes. If she could increase her average speed by 1 km/hr, it would reduce her time around the loop by 6 minutes. How many kilometers long is the loop?

Question

07-09-2018
Mathematics

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Sarah can bicycle a loop around the north part of Lake Washington in 2 hours and 40 minutes. If she could increase her average speed by 1 km/hr, it would reduce her time around the loop by 6 minutes. How many kilometers long is the loop?

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andriansp andriansp · Answer 1 · 2018-09-16T09:45:46+02:00

Time equal to distance divided by the speed. In this question, Sarah need 2 hours and 40 minutes(or 160 minutes) to loop around the north part of Lake Washington. The time for the same distance cutted by 6 minutes if the speed increased by 1km/h. The calculation would be:

time= distance/speed

distance= time*speed=

distance1= distance2

time1*speed1= time2*speed2

160min*speed1= (160min-6min)*(speed1+1km/h)

160 speed1= 154 speed1 + 154km/h

160 speed1- 154 speed1 = 154km/h

speed1= 154km/h /6= 25.67km/h