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Two cyclists, A and B, are 145 miles apart on a straight [#permalink]
09 Dec 2017, 18:50

Expert's post

00:00

Question Stats:

64% (01:38) correct
35% (02:06) wrong based on 14 sessions

Two cyclists, A and B, are 145 miles apart on a straight road. At 1:30 p.m., cyclist A begins riding at a constant speed of 20 miles per hour toward cyclist B. At 2:00 p.m., cyclist B begins riding toward cyclist A at a constant speed. At 5:00 p.m. they meet. How fast, in miles per hour, was cyclist B riding?

Re: Two cyclists, A and B, are 145 miles apart on a straight [#permalink]
10 Dec 2017, 09:43

Hi

Cyclist A has already made 10 miles in the 30 minutes. So we substract this from the total miles : 135 apart now. We can set as follows : 135/ (20 + x) = 3 And solve for x. 25.

Re: Two cyclists, A and B, are 145 miles apart on a straight [#permalink]
29 Dec 2017, 16:44

Expert's post

Explanation

Cyclist A rode for 3.5 hours at 20 miles per hour, so she traveled 20 × 3.5 = 70 miles. Cyclist B then, must have traveled 145 – 70 = 75 miles. Since Cyclist B left at 2:00, she rode for 3 hours, giving her a speed of 75 ÷ 3 = 25 miles per hour.
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