Bunuel
Joe uses three different modes of transportation to travel a total of 225 kilometers to visit his aunt. How many kilometers does Joe travel by bus?
(1) Joe rides his bike 5 kilometers to the bus station where he boards the bus to take him to the train station. He then takes the train 10 times the distance he has traveled by bus.
(2) The distance Joe travels by bike is 1/4 the distance he travels by bus, and his train ride is 40 times longer than his bike ride.
Joe uses three different modes of transport to travel a distance of 225 kilometres.
Distance travelled by bus = ?
Statement 1:
(1) Joe rides his bike 5 kilometers to the bus station where he boards the bus to take him to the train station. He then takes the train 10 times the distance he has traveled by bus.
Joe home to Bus station = 5 kilometres
Bus station to train station = d kilometres.
Train station to Aunt home = (10*d) kilometres.
Total distance = 5+d+ 10d = 225
11d = 220
d = 20 kilometres
Hence,
Sufficient Statement 2:
(2) The distance Joe travels by bike is 1/4 the distance he travels by bus, and his train ride is 40 times longer than his bike ride.
distance by bike = (1/4)* distance by bus
distance by bus = 4* distance by bike
Distance by train = 40* bike
Total distance = distance by bike + distance by bus + distance by train
= bike + 4*bike + 40* bike
= 45 * bike
given that : 45* bike = 225 kilometres
bike = 5 kilometres.
Distance by bus = 4* bike = 4*5 = 20 kilometres.
Hence,
Sufficient Option D