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Chapter 3: Q. 442 (page 411)

Leon drove from his house in Cincinnati to his sister’s house in Cleveland, a distance of 252 miles. It took him412 hours. For the first half hour he had heavy traffic, and the rest of the time his speed was five miles per hour less than twice his speed in heavy traffic. What was his speed in heavy traffic?

Short Answer

Expert verified

Leon's speed in heavy traffic is 32mph.

Step by step solution

01

Step 1. Given Information

Distance travelled =252miles

Time taken =412hours

For first half hour he had heavy traffic.

Rest of the time his speed was five miles per hour less than twice his speed in heavy traffic.

02

Step 2. Finding the heavy traffic speed

Let the speed in heavy traffic be xmph.

His speed for the rest half =(2x-5)mph.

Distance travelled in first half hour =12x

Distance travelled in rest 4hours =4(2x-5)

12x+4(2x-5)=252⇒0.5x+8x-20=252⇒8.5x=252+20⇒8.5x=272⇒x=2728.5⇒x=32

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