Answer:
I will get the bus after 11 minutes.
Explanation:
Buses on my route run every 13 minutes from 7:00 to 11:00 a.m.
If i arrive at 8:46 a.m. then i have to calculate how long will i wait for the bus at bus stop.
Now the difference between 7:00 a.m. to 8:46 a.m. is
(8.46 - 7.00) = 1 hour and 46 minutes or 106 minutes
Means i have missed the number of buses = 106/13 ≈ 8
Now i will be waiting for the 9th bus.
So 9th bus will come at = 7: 00 a.m. + (13×9) minutes = 7:00 am + 117 minutes = 7:00 a.m. + 1 hour 57 minutes = At 8:57 a.m.
As i have arrived at 8:46 a.m. and next bus is at 8:57 a.m. so I will wait for (8:57 - 8:46 = 0 : 11 minutes).
Answer will be 11 minutes.