# Speed Time Questions Relative Speed YouTube Lecture Handouts

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Watch video lecture on YouTube: Speed, Time & Distance (Aptitude) - 3 Concepts & Shortcuts: Systematically Solve All Problems Speed, Time & Distance (Aptitude) - 3 Concepts & Shortcuts: Systematically Solve All Problems

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## Relative Speed

## Relative Speed (Same Direction)

## Relative Speed (Same Direction)

## Train a from Delhi to Ahmedabad Left at 2:30 PM at Speed of 60 Km/Hr. Another Train B Left 2 Hours Later at Speed of 80 Km/Hr. How Far from Delhi Will They Meet?

480 km

## A Train M Leaves Meerut at 5 Am and Reaches Delhi at 9 Am. Another Train N Leaves Delhi at 7 Am and Reaches Meerut at 10:30 Am. At What Time Do the 2 Trains Cross One Another?

14/15 hrs

## Two Friends Started from a to B in the Same Direction Along a Straight Line Simultaneously. The Faster Friend Tim Was on Bike, While Jim Was on Bicycle. The Ratio of Their Speeds Was 1:5. Sometime Later Tim Parked His Bike and Started Running Back Towards Jim’S Bicycle. His Speed Dropped by 80%. Jim Had Travelled 15/2 Km in That Time. They Meet After 4 Hrs. What Was the Speed of Bicycle?

d=75/2, 5x=75/4, x = 15/4

## Ram and Shyam Run a Race between Points a and B, 5 Km Apart. Ram Starts at 9 Am from a at a Speed of 5 Km/Hr, Reaches B, and Returns to a at the Same Speed. Shyam Starts at 9:45 a.m. From a at a Speed of 10 Km/Hr, Reaches B and Comes Back to a at the Same Speed. At What Time Do Ram and Shyam Cross Each Other? At What Time Does Shyam Overtake Ram?

Cross at 10:10

Overtake at 10:30

## Arun, Barun, and Kiranmala Start from the Same Place and Travel in the Same Direction at Speeds of 30, 40 and 60 Km Per Hour, Respectively. Barun Start Two Hours After Arun. If Barun and Kiranmala Overtake Arun at the Same Instant, How Many Hours Before or After Arun Did Kiranmala Start?

4 hrs

## A Train X Departs from Station a at 11.00 a.m. For Station B, Which is 180 Km Away. Another Train Y Departs from Station B at 11.00 a.m. To Station a. Train X Travels at an Average Speed of 70 Km/Hr and Does Not Stop Anywhere Until It Arrives at Station B. Train Y Travels at an Average Speed of 50 Km/Hr, but Has to Stop for 15 Minutes at Station C, Which is 60 Km Away from Station B en Route to Station a. Ignoring the Lengths of the Trains, What is the Distance, to the Nearest Km, from Station a to the Point Where the Trains Cross Each Other?

84 km, 325/2 km, 65/48 hr, 112.29 hr

## Next: Problems on Trains and Boats

-Mayank