SOLUTION: A farmer drives to town at 40km/h, spends 1.5 hours in town and returns home travelling at 30km/h. If he has been away from home a total of 5 hours, how far is hes farm from town?

Question 117505: A farmer drives to town at 40km/h, spends 1.5 hours in town and returns home travelling at 30km/h. If he has been away from home a total of 5 hours, how far is hes farm from town?
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
he only spent (5-1.5=3.5) hours driving.
therefore we have the following equation.
40t=30(3.5-t)
40t=122.5-30t
40t+30t=105
70t=105
t=105/70
t=1.5 hours or 1 hour 30 minutes for the trip to town.
3.5-1.5=2 hours for the return trip.
distance to town is:
40*1.5=60 miles.
30*2=60 miles.

RELATED QUESTIONS
Dan drove from his farm to town travelling the first 50km at 80 km/h, and the next 30km... (answered by Boreal)

John drives from Town A to Town B , a distance of 720 km , at a constant speed. When he (answered by stanbon)

John was travelling from town A to town B at a uniform speed. He drove past Jim who was... (answered by solver91311)

A car travels at 40km/h or 60km/h to get from A to B, which is 30km away. The average... (answered by Theo)

A motorist travelled from town x to Town Y. After travelling for 1.5hour, he passed a... (answered by mananth)

Sophie leaves Town A and cycles towards Town B, 100km away at a speed of 5 metres per... (answered by ankor@dixie-net.com)

A man walks from his home to a town 6 km away at a speed of 4 km/h and returns home at a... (answered by Alan3354,ikleyn)

John walks from town A to town B. He first walks on flat land, and then uphill. He then... (answered by ankor@dixie-net.com)

B travels from home to school at 6km/h and returns same route at 8km/h in 70 minutes for... (answered by josgarithmetic,josmiceli,MathTherapy,Alan3354,ikleyn)