wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Two candles are of different lengths and thickness's. The short and the long ones can burn, respectively, for 3.5 hours and 5 hours. After-burning for 2 hours, the lengths of the candles become equal in length. What fraction of the long candle's height was the short candle initially?

A
27
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
57
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
35
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
45
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 57
suppose L1 and L2 are the length of two different candles.
Suppose rate of burning of Li length candle is R1=LI / (3 hr and 30 minute or 3. 1/2 ) or L1 / (7/2) and
rate of burning of L2 length candle is R2=L2/5
Now after 2 hr length become same for both candle means,
L12X(R1)=L22X(R2) ,
PUT THE VALUE OF L1 AND L2 in above equation,
L12X(2L1/7)=L22X(L2/5)
L14L1/7=L22L2/5
L2/L1=5/7
Thus option B is correct answer.
358680_204902_ans.png

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Rate of Change
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon