Question
Ram needs to cover a certain distance to reach his
destination. When he drives at a constant speed of 24 km/h, he arrives 2 hours later than planned. However, if he increases his speed to 30 km/h, he arrives exactly on time. Determine the distance Ram needs to travel.Solution
Let the appropriate time taken by Ram to travel the distance = 't' hours Let the distance travelled by Ram = 'd' km We have, 24(t + 2) = 24t + 48 = d Also, 30t = d So, 24t + 48 = 30t So, 6t = 48 So, t = 8 So, d = 30t = 30 x 8 = 240 km Hence, option a.
A certain number of students from school X appeared in an examination and 30% students failed. 150% more students than those from school X, appeared in ...
(288 ÷ 8)² × (144 ÷ 24)³ = 24 × ? × (51840 ÷ 20)
If [2a + (1/2a)] = 5, then find the value of [4a² + (1/4a²) - 6]
‘a’ is directly proportional to ‘b’. If at a=30, the value of ‘b’ is 20% greater than ‘a’, then find the value of ‘a’ when b=54.
...47.98 × 4.16 + √325 × 12.91 + ? = 79.93 × 5.91
If sin 28° = 15/17 , then tan 62° = ?
- If p = 40 - q - r and pq + r(p + q) = 400, then find the value of (p² + q² + r²).
If n = 6 + √13, then find the value of (n + 1/n)².
{(21/20) + (20/21)}2 - {(21/20) - (20/21)}2 = ?
If (r + s + t) = 12 and (rs + st + tr) = 60, then find the value of (r² + s² + t²).