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Question

Study the table given below and the answer the questions that follow.
City Distance From Delhi Time Taken Aircraft
Agra 360 km _______h Pushpak
Nagpur 765 km 3 h 45 m Dakota
Mumbai ___________km 1 h 50 m Airbus
Kolkata 1035 Km 1 h 55 m Boeing 737
Chennai 1860 m __________ MIG

(a) Calculate the speeds of a Boeing 737 and a Dakota.
(b) Calculate how long a Pushpak travelling at 200km/h will take to cover the distance between Delhi and Agra?
(c) An Airbus travels at the same speed as s Boeing 737. What is the distance between Delhi and Mumbai?
(d) How long will a MIG with the speed of 1800 km/h take to travel from Delhi to Chennai?

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Solution

(a) For Boeing 737:
Distance travelled = 1035 km
Time = 1 h 55 min
= 1 h + (55/60) h
= 23/12 h

Speed of Boeing 737 = Distance travelled/Time taken
= 1035/(23/12)
= 955.4 km/h
For Dakota:
Distance travelled = 765 km
Time = 3 h 45 min
= 3 h + (45/60) h
=15/4 h

Speed of Dakota = 765/(15/4)
= 204 km/h

(b) Speed of Pushpak = 200 km/h
Distance travelled = 360 km
Time taken by Pushpak = Distance/Speed
= 360/200
= 1.8 h

(c) Speed of the airbus = Speed of Boeing 737 = 955.4 km/h
Time taken = 1 h 50 min
= 11/6 h
∴ Required distance = Speed × time
= 955.4 × 11/6
= 1751.6 km

(d) Speed of MIG = 1800 km/h
Distance travelled = 1860 m
= 1.860 km
∴ Time = Distance/Speed
= 1.860/1800
= 0.001 h

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