The time difference between London and New Delhi is +5 hours and 30 minutes. The time difference between New York and London is +4 hours. If clock at New York shows 10 : 15 PM, then what is the angle between hands of a clock at New Delhi at same time?

The time difference between London and New Delhi is +5 hours and 30 minutes. The time difference between New York and London is +4 hours. If clock at New York shows 10 : 15 PM, then what is the angle between hands of a clock at New Delhi at same time? Correct Answer 37.5 degrees

Time difference between London and New Delhi = 5 hours and 30 minutes

Time difference between New York and London = 4 hours

Time difference between New York and New Delhi = 5 hours and 30 minutes + 4 hours = 9 hours and 30 minutes

Time at New York clock = 10 : 15 PM

Time at New Delhi clock = 10 : 15 + 9 : 30 = 7 : 45 AM

The formula for finding the angle between the hour hand and minute hand is

Angle between the hands = 11 × m/2 – 30 H

m denotes the minute hand and H denotes the hour hand

m = 45             H = 7

Angle = 11 × 45/2 – 30 × 7

Angle = 37.5 degrees

Hence angle between hands of clock at New Delhi is 37.5 degrees.

Related Questions

There are 2 clocks A and B. The angle between minutes and hour hand of the clock A is x degrees and that between hands of clock B is y degrees. The sum of x and y is 180 degrees and difference between x and y is 40 degrees. If time on clock A is between 2 and 3 and on clock B is between 4 and 5, which of these is correct time combination of both clocks?