Question

Ben I love kids then with a speed of 51 miles per hour Melanie also left at the same time in the opposite direction at a speed of 42 my husband our find how many hours mowing must travel to of course they are 360 miles apart

Answer 1

Time when Ben and Melanie are 360 miles apart = 3.871 hours.

Explanation:

The question seems unclear, but the sense that could be made from this question is that

Ben leaves with a speed of 51 miles per hour and Melanie also left at the same time in the opposite direction at a speed of 42 miles per hour. My husband wants to find how many hours they both must have been moving to be 360 miles apart.

Let the required time be t.

Let the distance covered by Ben in t hours be x miles.

Let the distance covered by Melanie in t hours be y miles.

Total distance covered = x + y = 360 (eqn 1)

speed = (distance/time)

For Ben

51 = (x/t)

x = (51t) miles

For Melanie

42 = (y/t)

y = (42t) miles

Substituting for x and y in eqn 1

x + y = 360

51t + 42t = 360

93t = 360

t = (360/93) = 3.871 hours.

Ben would have travelled x = 51t = 51 × 3.871 = 197.42 miles

Melanie would have travelled y = 42t = 42 × 3.871 = 162.58 miles

Hope this Helps!!!!