A website Maths Puzzle Numerical Ability Time Distance and Speed

A person walking at 5/6th of his usual speed is 40 mins late to his office.What is his usual travel time to his office?

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At 10 a.m two trains started traveling toward each other from stations 287 miles apart.they passed each other at 1.30p.m the same day.If the average speed of the faster train exceeded the average speed of the slower train by 6 miles per hour,find speed of the faster train in miles per hour? At a party, everyone shook hands with everybody else. There were 66 handshakes. How many people were at the party?