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New mileage @ 60mph = 20/1.3 miles per gallon
Gallons of gas required to cover 160 miles @ 60mph = 160 / (20 / 1.3). But its tank hold only 10 gallons. Hence the truck will make one stop for 20 min.

Normal time to cover 160 miles = 160/60 hr = 160 mins.
Now total time = 160 mins + 20 mins = 180 mins

Madelaine88
When a truck travels at 60 mph, it takes 30% more gasoline to travel any distance than it does when it travels at 50 mph. The truck can travel 20 miles on a gallon of gas if it is travelling at 50mph. The truck has only 10 gallons of gas and is 160 miles from its destination. It takes 20 minutes for the truck stop for gas. How long will it take the truck to reach its final destination if the truck is driven at 60 mph?

A/ 160 min
B/ 180 min
C/ 190 min
D/ 192 min
E/ 195 min
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Sol:
The question is how many times the truck stops for refueling?

If it didn't have to stop; then the truck would travel a distance of 160 m @ 60mph in

160/60 = 2hours 40minutes

Let's see how many times the truck will have to stop for the gas;

@ 60 mph, the mileage of the truck will be;
\(\frac{20}{1.3}\)

So; in 10 gallons; the truck will travel
\(\frac{20*10}{1.3} miles\)
\(\frac{20*10}{1.3} miles \approx 153 miles\)

Still few miles short of 160. Thus; refueling the tank once would suffice even if the tank's capacity is just 10 gallons.

If the truck stopped once for the fill; then it spent an extra 20 minutes.

Total travel time = 2 hour 40 min+20 min = 3 hours = 180 mins

Ans: "B"
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Hi Bunuel

Can u clarify, is gallon consumption has to play a vital part to solve it???
I don't think so. Its mentioned to make someone confused...

Rgds
Prasannajeet
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prasannajeet
When a truck travels at 60 miles per hour, it uses 30% 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 the truck is driven at 60 miles per hour?

A. 160 minutes
B. 180 minutes
C. 190 minutes
D. 192 minutes
E. 195 minutes

Hi Bunuel

Can u clarify, is gallon consumption has to play a vital part to solve it???
I don't think so. Its mentioned to make someone confused...

Rgds
Prasannajeet

We use consumption to see whether 10 gallons are enough to travel 160 miles, so whether 20 additional minutes will be needed to refuel while covering the distance.

Hope it helps.
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Hi Bunuel

Understood and thanx for explanation

Rgds
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faifai0714
When a truck travels at 60 miles per hour, it uses 30% 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 the truck is driven at 60 miles per hour?

A. 160 minutes
B. 180 minutes
C. 190 minutes
D. 192 minutes
E. 195 minutes

The answer is indeed B, but I feel like this question could be made more interesting (or perhaps just harder) if we introduced a choice. The driver can drive at 50 mph or 60 mph. What is the minimum amount of time he could take to reach his destination. Then we'd need to add in 160 miles / 50 mph = 3.2 hours, or 180 minutes + (\(\frac{1}{5} * 60\)) = 192 minutes (not coincidentally answer choice D).

Then we could compare D to B and determine that going 60 mph is faster than 50 and pick B as the overall answer. Of course this might make people think that if he drove at ~55 mph he'd probably get there in under 3 hours without having to refuel. :wink:

Just fuel for understanding GMAT algebra concepts!

Thanks!
-Ron
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faifai0714
When a truck travels at 60 miles per hour, it uses 30% 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 the truck is driven at 60 miles per hour?

A. 160 minutes
B. 180 minutes
C. 190 minutes
D. 192 minutes
E. 195 minutes

The answer is indeed B, but I feel like this question could be made more interesting (or perhaps just harder) if we introduced a choice. The driver can drive at 50 mph or 60 mph. What is the minimum amount of time he could take to reach his destination. Then we'd need to add in 160 miles / 50 mph = 3.2 hours, or 180 minutes + (\(\frac{1}{5} * 60\)) = 192 minutes (not coincidentally answer choice D).

Then we could compare D to B and determine that going 60 mph is faster than 50 and pick B as the overall answer. Of course this might make people think that if he drove at ~55 mph he'd probably get there in under 3 hours without having to refuel. :wink:

Just fuel for understanding GMAT algebra concepts!

Thanks!
-Ron

+1.

Thank you Ron for giving me an idea for a question.
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Hi Bunuel here the mileage at the speed of 60mph will be = 20/1.3 miles per gallon or it will 0.7*20 = 14 miles per galloon, which one will be the right one?

Bunuel


We use consumption to see whether 10 gallons are enough to travel 160 miles, so whether 20 additional minutes will be needed to refuel while covering the distance.

Hope it helps.
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Natansha
Hi Bunuel here the mileage at the speed of 60mph will be = 20/1.3 miles per gallon or it will 0.7*20 = 14 miles per galloon, which one will be the right one?



We are told that at 60 mph the truck uses 30% more gasoline to travel the same distance than at 50 mph.

At 50 mph, it travels 20 miles per gallon, so 20 miles require 1 gallon.

At 60 mph, 20 miles (the same distance) will require 1.3 gallons (30% more).

That means at 60 mph, 1 gallon will cover 20/1.3 ≈ 15.4 miles.

So the correct way is 20/1.3, not 0.7 * 20.
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