You leave your house at 7 AM and your drive 60 miles per hour. Your wife was taking her time. So she leaves the house at 9 AM. However, she is now speeding at 90 miles per hour.
How long will it take your wife to catch up with you assuming that the police does not stop her?
Select.
A) 360 miles B) 460 miles C) 560 miles D) 660 miles E) 760 miles
let t be the time it takes you to get to your destination.   t-2 is then the time it will take your wife. The reason we subtract 2 is because compared to you, your wife is late by 2 hours   Since the distance you travel is the same as the distance your wife travels, we get:   60 × t = 90 × (t - 2)   60t = 90t - 180   60t + 180 = 90t   180 = 90t - 60t   180 = 30t   Since 30 times 6 = 180, t = 6   This means that your wife will catch up with you in 6 hours   d = 60 × 6 = 360   d = 90 × (6-2) = 90 × 4 = 360   Therefore, your wife will catch up with you 360 miles away   360 milesnswer 360 miles
<result>A</result>
You leave your house at 7 AM and your drive 60 miles per hour. Your wife was taking her time. So she leaves the house at 9 AM. However, she is now speeding at 90 miles per hour.
How long will it take your wife to catch up with you assuming that the police does not stop her?