99 calculate distance

[ern5231]

Two points A and B are 294 miles apart. Two people start moving towards each other at 40 mph(person from A) and 60 mph (person from B). How far are they from B when they meet?

The equality that I am setting up is

(294-d)/40 = d/60 (since both travel equal time and d being the distance from B)

However, I am not getting the right answer. Can you explain the solution?

[sanjana]

From the question we have,

D1=40*T1
D2=60*T2

Now D1+D2 = 294
and T1=T2
Therefore, 40T1+60T2=294
I.E 100T=294
T=2.94

Therefore distance from B = 60*2.94 = 176.40 miles.

Is this the correct answer?

[bikerguy.gmat]

From the question we have,

D1=40*T1
D2=60*T2

Now D1+D2 = 294
and T1=T2
Therefore, 40T1+60T2=294
I.E 100T=294
T=2.94

Therefore distance from B = 60*2.94 = 176.40 miles.

Is this the correct answer?

sanjana and ern - both of you are doing the same thing, but that ans is wrong according to ern.
@ern-can you share the correct ans. and any explanation, if available? then, we can maybe discuss if something is going wrong somewhere.

[ern5231]

oops! My mistake...My answer is right. I know me and Sanjana were workin it out the same way. The ans is 176.4

[JeffB]

These problems are generally pretty easy.

Just add the two rates together, 40 + 60 = 100 mph

and Divide by total distance 294/100 = 2.94

Then Multiply by 60 X 2.94 = 176.4 miles?

[carllecat]

Person A:
R x T = D
40 x T = 40T

Person B
R x T = D
60 x T = 60T

DISTANCE =
40T+60T = 294
Which translates into:
100T = 294 or T = 2.94

We are looking for the distance from B,
then if R x T = D, 60 x 2.94 = 176.4 miles