Bunuel wrote:

When a truck travels at 60 miles per hour, it uses 30 percent more gasoline to travel any distance than it does when it travels at 50 miles per hour. The truck can travel 20 miles on a gallon of gas if it is traveling at 50 miles per hour. The truck has only 10 gallons of gas and is 160 miles from its destination. It takes 20 minutes for the truck to stop for gas. How long will it take the truck to reach its final destination if it is driven at 60 miles per hour?

(A) 160 minutes

(B) 180 minutes

(C) 190 minutes

(D) 192 minutes

(E) 195 minutes

I think the gas information is a lot of extra . . . All you need is to see that he is not going to cover 160 miles with 10 gallons of gas driving at 60 mph. I'm wondering if I have my units confused.

At 50mph, he would be able to go 20 miles/gal * 10 gallons = 200 miles

30 percent fewer miles than that, x = miles he can cover?

\(200 = 1.3x\)

\(x =\frac{200}{1.3}=\) approx 154 mi

Conclusion: he has to stop for gas.

TIME to travel?

He is 160 miles from his destination. D/r= time

Time to travel, w/o gas stop:

\(\frac{160}{60}=\frac{8}{3} hrs\) without the gas stop

Time for Gas stop = 20 minutes = 1/3 hr

Time total:\(\frac{8}{3} + \frac{1}{3}=\frac{9}{3}= 3 hrs\)

= 180 minutes

Answer B

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