RTD

[vinay1983]

One hour after Yolanda started walking from X to Y, a distance of 45 miles, Bob started walking along the same road from Y to X. If Yolanda's walking rate was three miles per hour and Bob's was four miles per hour, how many miles had Bob walked when they met?

1) 24
2) 23
3) 22
4) 21
5) 19.5

[theCodeToGMAT]

Answer [spoiler]{A][/spoiler]

Steps:
Time to meet = 42/7=6
Distance by Bob = 4*6 = 24

[GMATGuruNY]

One hour after Yolanda started walking from X to Y, a distance of 45 miles, Bob started walking along the same road from Y to X. If Yolanda's walking rate was three miles per hour and Bob's was four miles per hour, how many miles had Bob walked when they met?

1) 24
2) 23
3) 22
4) 21
5) 19.5

In the first hour, the distance walked by Yolanda alone = 3 miles.
Remaining distance between Bob and Yolanda = 45-3 = 42 miles.

Bob's rate : Yolanda's rate = 4:3.
Implication:
When Bob and Yolanda walk toward each other, of every 7 miles, Bob walks 4 miles, while Yolanda walks 3 miles.
Thus, Bob will walk 4/7 of the remaining 42 miles:
(4/7) * 42 = 24.

The correct answer is A.

Side note:
Don't either of them own a car?

[vinay1983]

One hour after Yolanda started walking from X to Y, a distance of 45 miles, Bob started walking along the same road from Y to X. If Yolanda's walking rate was three miles per hour and Bob's was four miles per hour, how many miles had Bob walked when they met?

1) 24
2) 23
3) 22
4) 21
5) 19.5

In the first hour, the distance traveled by Yolanda alone = 3 miles.
Remaining distance between Bob and Yolanda = 45-3 = 42 miles.

Bob's rate : Yolanda's rate = 4:3.
Implication:
When Bob and Yolanda travel toward each other, of every 7 miles, Bob travels 4 miles, while Yolanda travels 3 miles.
Thus, Bob will travel 4/7 of the remaining 42 miles:
(4/7) * 42 = 24.

The correct answer is A.

Side note:
Don't either of them own a car?

I just wish they would Mitch!Maybe they will now!