Multiple choice

A truck starts running at the speed of 48km/hr. If the speed of the truck increases 6 km at the end of every hour then what will be the distance covered at the end of 12 hrs from the start of the Journey?

  1. 962

  2. 972

  3. 984

  4. 980

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

This is an arithmetic progression problem with first term 48 km/hr and common difference 6 km/hr. The distance covered each hour forms the sequence: 48, 54, 60, ... for 12 hours. Using the sum formula S = n/2 × [2a + (n-1)d], we get S = 12/2 × [2×48 + 11×6] = 6 × 162 = 972 km.