Bob, driving a new Ford, travels 330 miles in the same amount of time it takes John, driving an old Chevy and traveling 10 miles

Question

3 years ago

5

per hour faster, to travel 390 miles. How fast is Bob driving?

1 answer:

denis-greek [22] · Answer 1 · 2022-10-04T15:05:17+03:00

Answer:

55 mph

Step-by-step explanation:

Let x represent Bob's speed. Then John's speed is x+10, and their respective times are found by ...

time = distance/speed

330/x = 390/(x+10) . . . . . . . the times are the same

330(x +10) = 390x . . . . . . . multiply by x(x+10)

3300 = 60x . . . . . . . . . . . . . subtract 330x

55 = x . . . . . . . . . . . . . . . . . . divide by the coefficient of x

Bob is driving at 55 miles per hour.