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April 11th, 2014, 10:10 AM   #1
sf7
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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!
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April 11th, 2014, 11:42 AM   #2
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Quote:
Originally Posted by sf7 View Post
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?
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April 11th, 2014, 06:24 PM   #3
sf7
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Quote:
Originally Posted by Denis View Post
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!
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April 11th, 2014, 08:52 PM   #4
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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
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April 12th, 2014, 08:13 AM   #5
sf7
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Denis, thank you very much! I got it.
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