Question 437560: Sarah hikes at 4 kilometers per hour from one end of a trail that is 34 km long. Amanda begins 1 hr laater at the other end. Walks toward sarah at 6 k/m. How long will it take for them to pass each other
Found 3 solutions by mananth, ikleyn, MathTherapy:
Answer by mananth(16949)   (Show Source):
You can put this solution on YOUR website! Sarah 4 km/h
Amanda 6 km/h 1 hours late
Distance 37 km
1hour Sarah has traveled 4 km before Amanda starts
So distance = 33 When amanda starts
Let time they take to meet be x hours
Sarah distance traveled 4 x miles
Amanda distance traveled 6 x miles
Time taken to meet is same
t=d/r
combined speed= 10 km/h
10 x = 33 2.44
x= 3.3 hours after Amanda starts
Answer by ikleyn(53427)  (Show Source):
You can put this solution on YOUR website! .
Sarah hikes at 4 kilometers per hour from one end of a trail that is 34 km long.
Amanda begins 1 hr later at the other end. Walks toward Sarah at 6 k/m.
How long will it take for them to pass each other
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The solution, the numbers and the answer in the post by @mananth are incorrect.
I came to bring a correct solution.
The original distance was 34 km, but at the time Ananda started,
the distance between the two girls was just 34-4 = 30 kilometers.
Their approaching rate was 4 + 6 = 10 km/h.
so the time before they met each other was 30/10 = 3 hours,
counting from the moment, when Amanda started her way.
Solved correctly.
Answer by MathTherapy(10587)  (Show Source):
You can put this solution on YOUR website!
Sarah hikes at 4 kilometers per hour from one end of a trail that is 34 km long. Amanda begins 1 hr laater at the other end. Walks toward sarah at 6 k/m. How long will it take for them to pass each other
Let time Amanda takes to meet Sarah, be T
Then, distance Amanada covers when she meets Sarah = 6T
Since Sarah started out 1 hour before Amanda, when they both meet, Sarah would've been travelling for T + 1 hours
So, distance Sarah covers when she meets Amanda = 4(T + 1)
As both would've covered a TOTAL of 34 miles, when they meet, we get the following DISTANCE equation: 6T + 4(T + 1) = 34
6T + 4T + 4 = 34
10T = 30
Time they took to meet, after Amanda starts hiking, or  = 3 hours
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