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Time and Distance (in Hindi)
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This lesson is based on topic time and distance it contain some basic formulas and questions on time and distance.

Mayank Agnihotri
B.Tech (ECE), Machine enthusiast, Inspired by an old hindi saying " Gyan baatne se badhta ha"

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1. Time and Distance BY: MAYANK AGNIHOTR

2. SOME BASIC FORMULAS Speed = 1 minute 60 seconds, 1 hour 60 min, 1 day 24 hrs, x am + 12 hr- x pm &viseversa xkm/hr - (xx 5) m/sec x m/sec = ( 10) Km/hr Tune = Distance Speed ' Distance Distance = Speed Time Time, 18 If ratios of speeds of A and B is a : b, then the ratio of times taken by them to cover the same distance is orb: a Suppose a man covers a certain distance at speed x km/hr and an equal distance at y km/hr. Then the average speed during the whole journey is )km/h

3. QUESTIONS Ques1. A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour? Sol. Time = 5 min = 5 x60 sec = 300sec Speed = 600 2 m/sec now 2x7.2 km/hr Ans 18 Ques 2. A train leaves station at 6 14 am and reaches its destination after 13 hours 48 minutes. The time at the station is (a) 8:12 pm (b) 7:02 pm (c) 7:12 pm (d) 8:02 pm So 6am 13 hr 7 pm & 14 min + 48 min 62 min 1 hr 2 min therefore time at station is 8:02 pm

4. Ques 3. A train leaves station P at 8:18 am and reaches station Q at 10:28 pm on the same day. Find time taken by train to reach Q Sol. 8 am 12 hr 8 pm & 8 pm 2 hr 10 pm therefore total 12 +2 14 hr Also 18 min 10 min 28 min Therefore total time taken 14hr 10 min. Ans Ques 4. If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is: A. 50 km B. 56 km . 70 km D. 80 km So Let the actual distance travelled be x km Then, * +20 10 14 14x = 10x + 200 4x = 200 x = 50 km.

5. Ques 5. Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour? Sol. 54 km in one hr with out stoppage & 45 km in one hr with stoppages Less distance cover due to stopages = 54-45 = 9 km Time taken to cover 9 km = hr = 60 min = 10 min Ans 9 54 9 54 The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km in 4 hours, then find the speed of the first train. Ques 6. So Let the speed of two trains be 7x and 8x km/hr 400 Then, 8x = 100 = = 100 = 12.5 :. Speed of first train = (7 12.5) km/hr = 87.5 km/hr.

6. Ques 7. Number of seconds in 6 hours is equal to the number of minutes in (a) 10 days (b) 12 days (c) 15 days 6 hr = 6 x 60 min = 6 x 60 x 60 sec = 21600 sec 1 day = 24 hr = 24 x 60 min = 1440 min (d) 16 days Sol. Now 1440 min 1 day21600 minx 21600 days - 15 days Ans