Cycling trip

At 8 am started a group of children from the camp to day cycling trip. After 9:00 weather deteriorated sharply and the leader decided to send for the children bus on the same route, which started at 10 hours. For how long and at what distance from the camp bus catch kids if kids will drive a 1-hour average of 15 km and a bus traveling at 75 km per hour?

Correct result:

t =  0.5 h
s =  37.5 km

Solution:

15(t+(10-8))=75t

15•(t+(10-8))=75•t

60t = 30

t = 1/2 = 0.5

Calculated by our simple equation calculator.

$s=75\cdot t=75\cdot 0.5={\displaystyle \frac{75}{2}}={\displaystyle \frac{75}{2}}\text{ km}=37.5\text{ km}$

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