SOLUTION: Sarah spent 2 hours more travelling by train than she did by bus. The train averaged 70 km/h and the bus 50 km/h. The total distance traveled was 740 km. How far did she travel by

Question 1173683: Sarah spent 2 hours more travelling by train than she did by bus. The train averaged 70 km/h and
the bus 50 km/h. The total distance traveled was 740 km. How far did she travel by bus?
Found 3 solutions by Boreal, ewatrrr, MathTherapy:
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
distance=velocity* time
bus for x hours
train for x+2 hours
70(x+2)+50x=740
70x+140+50x=740
120x=600
x=5 hours on bus (250 km)
x+2=7 hours on train (490 km)
250 km.

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
Sarah spent 2 hours more traveling by train (t+2) than she did by bus(t).
The train averaged 70 km/h and the bus 50 km/h.

Hi,
The total distance traveled was 740 km.
How far did she travel by bus?
bus time is t, and train time is (t+2)
D = rt
50t + 70(t+2)= 740km
120t = 600
t = 5hrs by bus.
D=rt = (50mi/hr)(5hrs) = 250mi
Checking our Work:
70(t+2) + 50t = 740km
490 + 250 = 740km checks.
Wish You the Best in your Studies.

Answer by MathTherapy(10553)   (Show Source): You can put this solution on YOUR website!

Sarah spent 2 hours more travelling by train than she did by bus. The train averaged 70 km/h and the bus 50 km/h. The total distance traveled was 740 km. How far did she travel by bus?

Let distance travelled by bus, be D
Then distance travelled by train = 740 - D
We then get the following TIME equation:
7D + 2(350) = 5(740 - D) ------ Multiplying by LCD, 350
7D + 700 = 3,700 - 5D
7D + 5D = 3,700 - 700
12D = 3,000
Distance travelled by bus, or
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