Abhinay Sharma Maths
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Formulas for Speed, Time and Distance

समय चाल व दुरी सूत्र:
Speed = Distance , Time = Distance , Distance = (Speed x Time). Time Speed 
km/hr to m/sec conversion:
x km/hr = x x 5 m/sec. 18 
m/sec to km/hr conversion:
x m/sec = x x 18 km/hr. 5 
If the ratio of the speeds of A and B is a: b, then the ratio of:
the times taken by them to cover the same distance is 1 : 1 OR b: a. a b 
Suppose a man covers a certain distance at x km/hr and an equal distance at y km/hr. Then,
the average speed during the whole journey is 2xy km/hr.

Time taken by a train of length l metres to pass a pole or standing man or a signal post is equal to the time taken by the train to cover l metres.

Time taken by a train of length l metres to pass a stationary object of length b metres is the time taken by the train to cover (l + b) metres.

Suppose two trains or two objects bodies are moving in the same direction at u m/s and v m/s, where u > v, then their relative speed is = (u – v) m/s.

Suppose two trains or two objects bodies are moving in opposite directions at u m/s and v m/s, then their relative speed is = (u + v) m/s.

If two trains of length metres and b metres are moving in opposite directions at u m/s and v m/s, then:
The time taken by the trains to cross each other = (a + b) sec. (u + v) 
If two trains of length metres and b metres are moving in the same direction at u m/s and v m/s, then:
The time is taken by the faster train to cross the slower train = (a + b) sec. (u – v) 
If two trains (or bodies) start at the same time from points A and B towards each other and after crossing they take a and b sec in reaching B and A respectively, then:
(A’s speed) : (B’s speed) = (b : a)
Question Answer
1. The average of first 50 natural numbers is …………..
3. The number of 3digit numbers divisible by 6, is ………….. .
5. A clock strikes once at 1 o’clock, twice at 2 o’clock, thrice at 3 o’clock and so on. How many times will it strike in 24 hours?
8. The simplest form of 1.5: 2.5 is …………….