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# need help

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Tony rode a bicycle from A to B in 36 \36 km/h. After that, Tony went back from B to A in 48 km/h. It took 3 and a half hours to go from A to B and back to A. Assuming that Tony never have any rest, what is the distance between A and B?

Jun 27, 2020

#1
+307
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Let thhe distance between A and B be $$d$$.

Since distance/speed=time, $$\frac{d}{36}+\frac{d}{48}=\frac{7}{2}$$.

Multiplying both sides by 144, we get $$4d+3d=504$$

$$7d=504$$

$$d=72$$

Jun 27, 2020
#2
+26576
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Distance is 2d

rate x time = distance

36t1 = 48(3.5-t1)

t1 = 2 hrs         2 hrs at 36 km/hr = 72 km

Jun 27, 2020