Let's solve this step by step:

1. Let's denote the weights of the objects as follows: P = p, Q = q, R = r, S = s, T = t.

2. From the given conditions, we have the following equations:

i. R is twice as heavy as T: r = 2t
ii. S is one and half times as heavy as Q: s = 1.5q
iii. Q and R together weigh as much as S and T together: q + r = s + t
iv. P and S together are one and half time as heavy as Q and T together: p + s = 1.5(q + t)

3. Now, let's substitute the values from equations i and ii into equations iii and iv:

iii. q + 2t = 1.5q + t
iv. p + 1.5q = 1.5(q + t)

4. Solving equation iii, we get: q = t

5. Substituting q = t into equation iv, we get: p + 1.5t = 1.5(2t), which simplifies to: p = t

6. So, we have: p = q = t and r = 2t = 2q = 2p and s = 1.5q = 1.5p = 1.5t

7. Comparing the weights, we can see that R is the heaviest of all.

So, the answer is b. R.

Question

Let's solve this step by step:

1. Let's denote the weights of the objects as follows: P = p, Q = q, R = r, S = s, T = t.

2. From the given conditions, we have the following equations:

i. R is twice as heavy as T: r = 2t
   ii. S is one and half times as heavy as Q: s = 1.5q
   iii. Q and R together weigh as much as S and T together: q + r = s + t
   iv. P and S together are one and half time as heavy as Q and T together: p + s = 1.5(q + t)

3. Now, let's substitute the values from equations i and ii into equations iii and iv:

iii. q + 2t = 1.5q + t
   iv. p + 1.5q = 1.5(q + t)

4. Solving equation iii, we get: q = t

5. Substituting q = t into equation iv, we get: p + 1.5t = 1.5(2t), which simplifies to: p = t

6. So, we have: p = q = t and r = 2t = 2q = 2p and s = 1.5q = 1.5p = 1.5t

7. Comparing the weights, we can see that R is the heaviest of all.

So, the answer is b. R.

Knowee AI · Accepted Answer