SOLUTION: From Abu Dhabi to Al-Ain is 149 km. A cyclist starts from Abu Dhabi cycling to Al-Ain at a steady speed of 14 km/hr. An hour later, a car starts from Al-Ain going to Abu Dhabi at a
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-> SOLUTION: From Abu Dhabi to Al-Ain is 149 km. A cyclist starts from Abu Dhabi cycling to Al-Ain at a steady speed of 14 km/hr. An hour later, a car starts from Al-Ain going to Abu Dhabi at a
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Question 66158: From Abu Dhabi to Al-Ain is 149 km. A cyclist starts from Abu Dhabi cycling to Al-Ain at a steady speed of 14 km/hr. An hour later, a car starts from Al-Ain going to Abu Dhabi at a steady speed of 4o km/hr. How far from Abu Dhabi do they meet? Found 2 solutions by josmiceli, stanbon:Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! Let t equal the time in hours to bike from Abu Dhabi to the meeting point
From Al Ain to the meeting point will be 1 hour less for the car
From Abu Dhabi to the meeting point is km answer
You can put this solution on YOUR website! From Abu Dhabi to Al-Ain is 149 km. A cyclist starts from Abu Dhabi cycling to Al-Ain at a steady speed of 14 km/hr. An hour later, a car starts from Al-Ain going to Abu Dhabi at a steady speed of 4o km/hr. How far from Abu Dhabi do they meet?
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Assume they meet x km from their starting point, Abu Dhabi.
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1st cyclist DATA:
After one hour he has gone 14 km
He has x-14 km to go.
His Rate is 14 km/hr.
His time is (x-14)/14 hrs.
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2nd cyclist DATA:
His total distance is x km
His rate is 40 km/hr
His total time is x/40 hrs
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EQUATION:
Time for 1st cyclist x-14 km = Time for 2nd cyclist to go x km.
(x-14)/14 = x/40
Cross-multiply to get:
40x-560=14x
26x=560
x=21.54 km
Conclusion:
They meet 149-21.54= 127.46 km short of Al-Ain.
Cheers,
Stan H.
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