Speed Time Distance Questions : Rate of work. Ascent - CAT Coaching classes, Training Institute

Question 4 the day: February 24, 2003
The question for the day is from the topic Speed, Time and Distance.

Question
Two boys begin together to write out a booklet containing 535 lines. The first boy starts with the first line, writing at the rate of 100 lines an hour; and the second starts with the last line then writes line 534 and so on, backward proceeding at the rate of 50 lines an hour. At what line will they meet?

1. 356
2. 277
3. 357
4. 267

Correct Answer is 357 . Choice (3) is right.

Explanatory Answer

Writing ratio = 100 : 50 = 2 : 1
As equal quantities are taken, in a given time, first boy will be writing the line number

or the 357th line

Hence, both of them shall meet on 357^th line

Sorted by Subject
Algebra, Arithmetic & Geometric Progressions, Averages and Mean, Clocks and Calendars, Data Sufficiency, English Grammar, Function, Geometry, Coordinate Geometry, Mensuration, Trigonometry, Interest, Inequality, Mixtures & Alligations, Number System and Theory, Percentages, Profit & Loss, Permutation & Combination, Probability, Ratio, Proportion, Set Language and Theory, Speed, Time & Distance, Races, Pipes & Cisterns And Work & Time, Miscellaneous, General Knowledge.