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Ymorist [56]
3 years ago
8

The distance between the cities Atlanta and Indianapolis is 540 miles. A motorcycle's speed is 48 mph. For a car it takes 2.25 h

ours less to cover same distance than for the motorcycle. How long does it take them to meet, if they start moving towards each other simultaneously?
Mathematics
1 answer:
bezimeni [28]3 years ago
7 0

Answer:


Step-by-step explanation:

let they travel the distance between them alone

d = common distance traveled by both motorcycle and car = 540 miles

t_{m}= time taken by motorcycle to travel distance between them

v_{m} = speed of the motorcycle = 48 mph

time taken by motorcycle to travel distance between them is given as

t_{m}= d/v_{m}

t_{m}=540/48

t_{m}= 11.25 h



t_{c}= time taken by car to travel distance "d" =11.25 - 2.25 = 9 h

v_{m} = speed of the motorcycle

speed of motorcycle is given as

v_{m} = d/t_{m}

v_{m} = 540/9

v_{m} = 60 mph


when the car and motorcycle move towards each other, the relative speed is given as

v = v_{m} + v_{c}

v = 60 + 48

v = 108 mph

t = time taken to meet

Time taken to meet is given as

t = d/v

t = 540/108

t = 5 h

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