Page 134 - Start Up Mathematics_5

Departure Departure Arrival Arrival Type of bus
terminal time terminal time
Panipat 15:50 h Shimla 22:05 h Semi-delux

Panipat 16:40 h Shimla 23:15 h Semi-delux

Panipat 22:00 h Shimla 04:10 h Semi-delux

Panipat 9:05 h Shimla 16:30 h Ordinary
Panipat 11:05 h Shimla 10:00 h Ordinary

Panipat 16:22 h Shimla 23:15 h Ordinary

(a) If Mr Kaushal and his family want to reach Shimla early in the morning,
at what time should they leave Panipat?

(b) If they take the ordinary bus from Panipat at 11:05 h, at what time will
they reach Shimla?
(c) Which bus takes the least time to reach Shimla?

Solution: (a) To reach early in the morning, Quick Tip
Mr Kaushal and his family should leave
Panipat at 22:00 h by the semi-delux To find the least time or
bus. maximum time, we find
(b) If they take the ordinary bus from the difference between
the arrival and departure
Panipat at 11:05 h, they will reach time.
Shimla at 10:00 h.

(c) The least time is taken by the semi-delux bus which leaves Panipat at
22:00 h.

Railway timetable

Example 8: Mr Kaushal and his family plan to return to Delhi by train. There is no direct
train from Shimla. So, they have to take a bus till Kalka and then board the
train from there.

There are two Shatabdi trains from Kalka to Delhi. Their timings are as follows:

Train Departure Arrival Arrival Arrival Arrival
number Kalka Chandigarh Ambala Kurukshetra New Delhi
12006 6:15 p.m. 6:53 p.m. 7:38 p.m. 8:14 p.m. 10:15 p.m.

12011 17:45 h 18:23 h 19:05 h 20:28 h 21:55 h

Look at the timetable and answer the following questions.
(a) If Mr Kaushal’s family boards train number 12006 at 6:15 p.m., after how
many hours will they reach Ambala?

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