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?
<pre>Let distance travelled by bus, be D
Then distance travelled by train = 740 - D
We then get the following TIME equation: {{{matrix(1,3, D/50 + 2, "=", (740 - D)/70)}}}
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 {{{highlight_green(matrix(1,6, D, "=", "3,000"/12, "=", 250, km))}}}