A cyclist is going at 4 kmph and takes them #t# less than #14# hours to get to their destination. On the trip back they take the same route, but at #10 kmph# and make it back in #t# hours. Using a diagram, how do you find the value of #t#?

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Answer 1 · 2016-03-31T23:32:28

Here's your diagram enter image source here

The formula for speed is #S = d/t#. However, we can rearrange it so that #S xx t = d#. Thus, speed • time = distance.

#4(14 - t) = 10(t)#

#56 - 4t = 10t#

#56 = 14t#

#4 = t#

Thus, it took her 4 hours to bike and 10 hours to walk.

Therefore, the distance is 40 kilometres, since #10 xx 4 = 40#

Hopefully this helps!