Question

The ratio of weight of an object on the earth to the moon is 6:1. If a man weighs 29 pounds on the moon, calculate his weighing on earth.
A.21
B.48
C.174
D.196

Answer 1

Hint: Here we are given with the ratio of an object on the earth to the moon is 6:1. So we should be clear with the fact that the ratio of any object or person or thing on the earth to the moon will also be 6:1. So we can write the ratio given as,
\[\dfrac{{Weight{\text{ }}of{\text{ }}an{\text{ }}object{\text{ }}on{\text{ }}earth\;}}{{Weight{\text{ }}of{\text{ }}an{\text{ }}object{\text{ }}on{\text{ }}moon}} = \dfrac{6}{1}\]
So from the formula above we can write,
\[
  Weight{\text{ }}of{\text{ }}an{\text{ }}object{\text{ }}on{\text{ }}earth\; = \dfrac{6}{1} \times Weight{\text{ }}of{\text{ }}an{\text{ }}object{\text{ }}on{\text{ moon}}\; \\
   \Rightarrow Wt{._{earth}} = 6 \times Wt{._{moon}} \\
\]

Complete step-by-step answer:
Given that,
\[\dfrac{{Weight{\text{ }}of{\text{ }}an{\text{ }}object{\text{ }}on{\text{ }}earth\;}}{{Weight{\text{ }}of{\text{ }}an{\text{ }}object{\text{ }}on{\text{ }}moon}} = \dfrac{6}{1}\]
Also we are given the weight of a man on the moon is 29 pounds.
So we have to find the weight of that man on the earth.
Let’s use the formula we have written above,
\[Wt{._{earth}} = 6 \times Wt{._{moon}}\]
\[ \Rightarrow Wt{._{earth}} = 6 \times 29 = 174\]
Thus the correct answer is 174pounds.
So the correct option is C.

Note: We should not get confused regarding the unit of weight. Pound is also used to measure the weight. We are given the options also in pounds. Until we are asked, don’t convert it into kgs.