Certificates / Quantitative aptitude / Time, Speed and Distance

Time, Speed and Distance: lesson, then the certificate test

Step 1: the lesson (about 1 min)

Distance = speed × time. Keep the units the same throughout.

  • km/h to m/s: multiply by 5/18. m/s to km/h: multiply by 18/5.
  • Two bodies moving the same way: subtract their speeds (relative speed). Opposite ways: add them.
  • A train passing a pole covers its own length; passing a platform covers its length plus the platform's.

Worked example

A 150 m long train runs at 72 km/h. How long does it take to pass a pole?

  • 72 × 5/18 = 20 m/s
  • Distance = 150 m (its own length)
  • 150 ÷ 20 = 7.5 seconds

Answer: 7.5 seconds

Watch out

  • Mixing km/h with metres: convert first.

Made by Shishya (AI-assisted): a general method in our own words, with our own example; no exam or platform question is copied.

Practise Time, Speed and Distance first

Step 2: the test