My Math Forum Hang-glider and racing car's race. Time of catching up

 Algebra Pre-Algebra and Basic Algebra Math Forum

 April 11th, 2014, 09:10 AM #1 Member   Joined: Jan 2014 From: Tashkent, Uzbekistan Posts: 52 Thanks: 2 Hang-glider and racing car's race. Time of catching up Hi! I'm difficulty in the solving of following problem: At 7.40 am the weather was fine and the velocity of air was 38.5 km/h. Hang-glider flew from the mountain and started flying in a straight line. At 14.40 the weather has changed, wind speed increased to 70 km/h and keeps to increase by 10 km/h in every 45 minutes. At 15.37 racing car with the velocity 240 km/h (wind is not impact to the velocity of the car) dashed in pursuit of. At what time the car catches the hang-glider. Could you please help me to solve this interesting problem? Any help will be appreciated! Thanks!
April 11th, 2014, 10:42 AM   #2
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Quote:
 Originally Posted by sf7 At 7.40 am the weather was fine and the velocity of air was 38.5 km/h. Hang-glider flew from the mountain and started flying in a straight line. At 14.40 the weather has changed, wind speed increased to 70 km/h, and keeps to increase by 10 km/h in every 45 minutes. At 15.37 racing car with the velocity 240 km/h (wind is not impact to the velocity of the car) dashed in pursuit of. At what time the car catches the hang-glider.
I probably need another coffee...
BUT don't we have to know WHERE the car is at 15.37;
like, how far behind the glider?
OR are we to ASSUME the car starts off from where the glider
originally started off?

April 11th, 2014, 05:24 PM   #3
Member

Joined: Jan 2014
From: Tashkent, Uzbekistan

Posts: 52
Thanks: 2

Quote:
 Originally Posted by Denis I probably need another coffee... BUT don't we have to know WHERE the car is at 15.37; like, how far behind the glider? OR are we to ASSUME the car starts off from where the glider originally started off?
Denis, good question! I didn't take this point into consideration.
In the problem it's not mentioned, so you're right!

We assume the car starts off from where the glider originally started off.

Thanks!

 April 11th, 2014, 07:52 PM #4 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,415 Thanks: 1025 Code:  TIME DISTANCE SPEED (Glider) 7:40 0 14:40 269.5 269.5 38.5 15:25 52.5 322.0 70 15:37* 16.0 338.0* 80 16:10 44.0 382.0 80 16:55 67.5 449.5 90 17:40 75.0 524.5 100 17:55 27.5 552.0 110 (Car) 15:37* 0 17:55 552.0 552.0 240 * when car started, was behind glider 338 km At 17:55, car caught up to glider. Thanks from sf7
 April 12th, 2014, 07:13 AM #5 Member   Joined: Jan 2014 From: Tashkent, Uzbekistan Posts: 52 Thanks: 2 Denis, thank you very much! I got it.

 Tags car, catching, hangglider, race, racing, time

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