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If a motorist had driven 1 hour longer on a certain day and [#permalink]

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22 Apr 2003, 18:14

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If a motorist had driven 1 hour longer on a certain day and at an average rate of 5 miles per hour faster, he would have covered 70 more miles than he actually did. How many more miles would he have covered than he actually did if he had driven 2 hours longer and at an average rate of 10 miles per hour faster on that day?

He travelled 70 more miles in one extra hour. SO he must have travelled 70 miles in 1 hr making his speed 70 mi/hr. This is 5 more miles/hr than original speed. So his original speed is 65 mi/hr. Adding 10 to this makes it 75 mi/hr. 75 mi/hr for 2 hrs = 150 miles

Guys, correct me if I am wrong but the question asks for "How many more miles would he have covered than he actually did" The bold part is important.

With the given information the driver will drive 150 miles more than the usual . But only 80 miles more than the distance he drove on that specific day.

Guys, correct me if I am wrong but the question asks for "How many more miles would he have covered than he actually did" The bold part is important.

With the given information the driver will drive 150 miles more than the usual . But only 80 miles more than the distance he drove on that specific day.

I dont know how to explain it well. See if you can figure it out

His average speed = V on a regular day he travels X miles for T hours
so X = VT
One fine day he travelled T+1 hours at V+5 miles per hour
(T+1)*(V+5) = X+70 On this day he travelled 70 miles extra as he drove 1 hour extra. VT+V+5T+5 = X+70 and since X = VT we have V+5T = 65
On some day he travels T+2 hours at V+10 mph
(T+2)*(V+10) = Y miles
VT+2V+10T+20 = Y
We need to find Y-X =Y-VT miles
Y-VT = 2V+10T+20 but V+5T = 65 so
Y-VT = 2*65+20 = 150

I think you are considering those two hours as daily part of his travel. I believ you have to compare it with how much he travels at V mph for T hours.

He travelled 70 more miles in one extra hour. SO he must have travelled 70 miles in 1 hr making his speed 70 mi/hr. This is 5 more miles/hr than original speed. So his original speed is 65 mi/hr. Adding 10 to this makes it 75 mi/hr. 75 mi/hr for 2 hrs = 150 miles

Yes, this is the simplest way to do this one. thanks Anandnk, this is good!

He travelled 70 more miles in one extra hour. SO he must have travelled 70 miles in 1 hr making his speed 70 mi/hr. This is 5 more miles/hr than original speed. So his original speed is 65 mi/hr. Adding 10 to this makes it 75 mi/hr. 75 mi/hr for 2 hrs = 150 miles

Yes, this is the simplest way to do this one. thanks Anandnk, this is good!