The distance each way would of course be the same.
let that distance be x km
x/18 + x/12 = 6.5
I would now multiply each term by 36, the LCM to have nice whole numbers
then solve for x
Let me know what you get.
A man cycles to a village at 18km/h and returns at 12km/h. If it takes 6 1|2 hours for the double journey, how far does he ride all together
3 answers
d1 = d2.
18*T = 12*(6.5-T).
Divide both sides by 6:
3T = 2(6.5 - T),
3T = 13 - 2T,
T = 2.6 h. to the village.
d1 = 18*T = 18*2.6 = 46.8 km to the village. =
d1 + d2 = 46.8 + 46.8 = 93.6 km.
18*T = 12*(6.5-T).
Divide both sides by 6:
3T = 2(6.5 - T),
3T = 13 - 2T,
T = 2.6 h. to the village.
d1 = 18*T = 18*2.6 = 46.8 km to the village. =
d1 + d2 = 46.8 + 46.8 = 93.6 km.
I think 93.6km is not the answer. It should be 90km