Question

Ram and Shyam begin together to paint a fence consisting of $535$ panels. Ram starts with the first panel, painting at the rate of $100$ panels an hour; and Shyam starts with the last panel then paints the second last and so on, backward proceeding at the rate of $50$ panels an hour . At what panel will they meet ?

• A. $356$
• B. $357$
• C. $277$
• D. $267$

Answer 1

The correct option is B $357$

Let us look at the hour-wise job completion of Ram and Shyam, gievn their speeds.

Speed of Ram is $2x$ times speed of Shyam i.e. $x$.

	Ram	Shyam	Balance -$535$
1st hour	$100$	$50$	$385$
2nd hour	$100$	$50$	$235$
3rd hour	$100$	$50$	$85$
4th hour	$57$	$28$	$0$
Total	$357$	$178$

Hence, they will meet each other at the $357$th panel.