Question
Two runners, ‘M’ and ‘N’, started from opposite
ends of a track towards each other at the same time. When they met after 3 hours, runner ‘N’ had travelled 27 km more than runner ‘M’. Find the distance travelled by runner ‘M’ in 2 hours if the total length of the track is 207 km.Solution
Let distance travelled by runner ‘M’ at the time of meet = ‘x’ km
So, distance travelled by runner ‘N’ at the time of meet = ‘x + 27’ km
According to question:
x + x + 27 = 207
Or, 2x = 180
Or, x = 90
Distance travelled by runner ‘M’ in 3 hours = 90 km
Speed of runner ‘M’ = 90 / 3 = 30 km/h
Distance travelled by runner ‘M’ in 2 hours = 30 × 2 = 60 km
351 261 181 111 51 ?
Find the 31st term of the series 25, 29, 33……
632, 560, 494, 434, ?, 332
1331 1000 729 512 ? 216
...2556 636 156 ? 6
3 5 15 75 1125 ?
...1. In series II, if ‘x’ is the right term, then find which of the following statement(s) are true.
I. x/124 is a factor 6 and 8.
73920, 9240, ?, 220, 44, 11
12 78 385 ? 4629 9260
...A number series is given below, which follows a specific pattern. If 'A' represents the 'x'th term and 'B' represents ...