Taro, Jiro and Hanako took a train for 1 hour and 12 minutes.
Since only one seat opened, they decided to sit down by turns.
Jiro stood for the double of the time Taro stood.
Hanako stood for a time of 3/2 times that of Taro.
How long minutes did Taro stand?
Since only one seat opened, they decided to sit down by turns.
Jiro stood for the double of the time Taro stood.
Hanako stood for a time of 3/2 times that of Taro.
How long minutes did Taro stand?
Answer
The ratio of the time that three people stood is being 1 : 2 : 1.5 = 2 : 4 : 3.
Because one seat opened, one person sat and two would stand.
Total hour two persons stood is 72 minutes × 2 = 144 minutes.
Therefore the time Taro stood was calculated by 144 × 2 / (2+4+3) which is proportional distribution of total time of 144 minutes.
It comes to 32 minutes.
32 minutes
Solution
Assuming the time Taro stood is 1, that of Jiro is 2 and that of Hanako is 1.5.
The ratio of the time that three people stood is being 1 : 2 : 1.5 = 2 : 4 : 3.
Because one seat opened, one person sat and two would stand.
Total hour two persons stood is 72 minutes × 2 = 144 minutes.
Therefore the time Taro stood was calculated by 144 × 2 / (2+4+3) which is proportional distribution of total time of 144 minutes.
It comes to 32 minutes.
